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Fill in the Blanks of Ratio and Proportion Table

Name Grade School
Date Questions10 Score
1
Complete the ratio table to determine if the ratios are in direct variation
2412302118
56
2
Complete the ratio table to determine if the ratios are in direct variation
7896
1012
3
Complete the ratio table to determine if the ratios are in direct variation
810
641612
4
Complete the ratio table to determine if the ratios are in direct variation
827
405020
5
Complete the ratio table to determine if the ratios are in direct variation
910
18547290
6
Complete the ratio table to determine if the ratios are in direct variation
82010126
18
7
Complete the ratio table to determine if the ratios are in direct variation
9103
15921
8
Complete the ratio table to determine if the ratios are in direct variation
301518
252035
9
Complete the ratio table to determine if the ratios are in direct variation
9122730
4020
10
Complete the ratio table to determine if the ratios are in direct variation
94
32566448

Answers Key
Show All Workout
1
Complete the ratio table to determine if the ratios are in direct variation
2412302118
56
2412302118
6432805648
Solution
Find the Common ratio of
2156
=
38
If the table in direct variation all the ratios must be equal
24x
=
38
,
12x
=
38
,
30x
=
38
,
2156
=
38
,
18x
=
38
38
=
24x
x =
8 x 243
x = 64
∴
24x
=
2464
38
=
12x
x =
8 x 123
x = 32
∴
12x
=
1232
38
=
30x
x =
8 x 303
x = 80
∴
30x
=
3080
38
=
18x
x =
8 x 183
x = 48
∴
18x
=
1848
2
Complete the ratio table to determine if the ratios are in direct variation
7896
1012
78956
1416181012
Solution
Find the Common ratio of
612
=
12
If the table in direct variation all the ratios must be equal
7x
=
12
,
8x
=
12
,
9x
=
12
,
x10
=
12
,
612
=
12
12
=
7x
x =
2 x 71
x = 14
∴
7x
=
714
12
=
8x
x =
2 x 81
x = 16
∴
8x
=
816
12
=
9x
x =
2 x 91
x = 18
∴
9x
=
918
12
=
x10
x =
1 x 102
x = 5
∴
x10
=
510
3
Complete the ratio table to determine if the ratios are in direct variation
810
641612
328610
64161220
Solution
Find the Common ratio of
816
=
12
If the table in direct variation all the ratios must be equal
x6
=
12
,
x4
=
12
,
816
=
12
,
x12
=
12
,
10x
=
12
12
=
x6
x =
1 x 62
x = 3
∴
x6
=
36
12
=
x4
x =
1 x 42
x = 2
∴
x4
=
24
12
=
x12
x =
1 x 122
x = 6
∴
x12
=
612
12
=
10x
x =
2 x 101
x = 20
∴
10x
=
1020
4
Complete the ratio table to determine if the ratios are in direct variation
827
405020
810247
4050102035
Solution
Find the Common ratio of
840
=
15
If the table in direct variation all the ratios must be equal
840
=
15
,
x50
=
15
,
2x
=
15
,
x20
=
15
,
7x
=
15
15
=
x50
x =
1 x 505
x = 10
∴
x50
=
1050
15
=
2x
x =
5 x 21
x = 10
∴
2x
=
210
15
=
x20
x =
1 x 205
x = 4
∴
x20
=
420
15
=
7x
x =
5 x 71
x = 35
∴
7x
=
735
5
Complete the ratio table to determine if the ratios are in direct variation
910
18547290
269810
1854817290
Solution
Find the Common ratio of
1090
=
19
If the table in direct variation all the ratios must be equal
x18
=
19
,
x54
=
19
,
9x
=
19
,
x72
=
19
,
1090
=
19
19
=
x18
x =
1 x 189
x = 2
∴
x18
=
218
19
=
x54
x =
1 x 549
x = 6
∴
x54
=
654
19
=
9x
x =
9 x 91
x = 81
∴
9x
=
981
19
=
x72
x =
1 x 729
x = 8
∴
x72
=
872
6
Complete the ratio table to determine if the ratios are in direct variation
82010126
18
82010126
123015189
Solution
Find the Common ratio of
1218
=
23
If the table in direct variation all the ratios must be equal
8x
=
23
,
20x
=
23
,
10x
=
23
,
1218
=
23
,
6x
=
23
23
=
8x
x =
3 x 82
x = 12
∴
8x
=
812
23
=
20x
x =
3 x 202
x = 30
∴
20x
=
2030
23
=
10x
x =
3 x 102
x = 15
∴
10x
=
1015
23
=
6x
x =
3 x 62
x = 9
∴
6x
=
69
7
Complete the ratio table to determine if the ratios are in direct variation
9103
15921
591037
152730921
Solution
Find the Common ratio of
39
=
13
If the table in direct variation all the ratios must be equal
x15
=
13
,
9x
=
13
,
10x
=
13
,
39
=
13
,
x21
=
13
13
=
x15
x =
1 x 153
x = 5
∴
x15
=
515
13
=
9x
x =
3 x 91
x = 27
∴
9x
=
927
13
=
10x
x =
3 x 101
x = 30
∴
10x
=
1030
13
=
x21
x =
1 x 213
x = 7
∴
x21
=
721
8
Complete the ratio table to determine if the ratios are in direct variation
301518
252035
3015121821
5025203035
Solution
Find the Common ratio of
1525
=
35
If the table in direct variation all the ratios must be equal
30x
=
35
,
1525
=
35
,
x20
=
35
,
18x
=
35
,
x35
=
35
35
=
30x
x =
5 x 303
x = 50
∴
30x
=
3050
35
=
x20
x =
3 x 205
x = 12
∴
x20
=
1220
35
=
18x
x =
5 x 183
x = 30
∴
18x
=
1830
35
=
x35
x =
3 x 355
x = 21
∴
x35
=
2135
9
Complete the ratio table to determine if the ratios are in direct variation
9122730
4020
912273015
1216364020
Solution
Find the Common ratio of
3040
=
34
If the table in direct variation all the ratios must be equal
9x
=
34
,
12x
=
34
,
27x
=
34
,
3040
=
34
,
x20
=
34
34
=
9x
x =
4 x 93
x = 12
∴
9x
=
912
34
=
12x
x =
4 x 123
x = 16
∴
12x
=
1216
34
=
27x
x =
4 x 273
x = 36
∴
27x
=
2736
34
=
x20
x =
3 x 204
x = 15
∴
x20
=
1520
10
Complete the ratio table to determine if the ratios are in direct variation
94
32566448
94786
7232566448
Solution
Find the Common ratio of
432
=
18
If the table in direct variation all the ratios must be equal
9x
=
18
,
432
=
18
,
x56
=
18
,
x64
=
18
,
x48
=
18
18
=
9x
x =
8 x 91
x = 72
∴
9x
=
972
18
=
x56
x =
1 x 568
x = 7
∴
x56
=
756
18
=
x64
x =
1 x 648
x = 8
∴
x64
=
864
18
=
x48
x =
1 x 488
x = 6
∴
x48
=
648

Finding the Missing Values in the Ratio & Proportion Table Worksheet

Finding the missing values in the ratio & proportion table worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to find and fill in the blanks of ratio table.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to find & fill in the blanks of given ratio and proportion table. In proportions, the product of means equals to product of extremes.
The product of extremes = The product of means

The antecedent of first ratio and consequent of second ratio is called as EXTREMES. Similarly, the consequent of first ratio and antecedent of second ratio is called as MEANS.

Compare the ratio which has both antecedent or consequent with any ratio which has anyone missing term in the ratio and proportion table. To find the missing values of ratio table, find the value of antecedent or consequent of each ratio by applying the law of proportions. The law states that the product of means is always equal to the product of extremes if two ratios are in direct variation or proportion.

Answers Key

Teachers, tutors, parents or students can check or validate the solved questions by using the corresponding answers key which comprises the step by step work on how to find the missing term in the ratio and proportion table, for each problem of this worksheet.

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