Question

Q. 1 Determine if the following are in proportion.

1. 12,8,6,4
2. 120,40,45,15
3. 96,9,121,33
4. 60,45,40,30
5. 27,24,9,8
6. 42,36,28,24
7. 100,15,44,33
8. 210,70,48,32
9. 4,2,70,35
10. 4,10,0.36,0.9​

Answer 1

Answer:

1. Product of means = Product of extremes

= 8×6 = 48

= 12×4 = 48

12,8,6,4 are in proportion.

2. Product of means = Product of extremes

= 45×40 = 1800

= 120 × 15 = 1800

120 , 45 , 40 and 15 are in proportion.

3. Product of means = Product of extremes

= 9×121 = 1089

= 96×33 = 3168

96,9,121 and 33 are not in proportion.

4. Product of means= Product of extremes

= 45 × 40 = 1800

= 60×30 = 1800

60,45,40 and 30 are in proportion.

5. Product of means = Product of extremes

= 24×9 = 216

= 27×8 = 216

27,24,9 and 8 are in proportion.

6. Product of means = Product of extremes

= 36×28 = 1008

= 42×24 = 1008

42,36,28 and 24 are in proportion

7. Product of means = Product of extremes

= 15×44 = 660

= 100 × 33 = 3300

100, 15 ,44 and 33 are not in proportion.

8. Product of means = Product of extremes

= 70 × 48 = 3360

= 210 × 32 = 6720

210,70,48,32 are not in proportion.

9. Product of means= Product of extremes

= 2×70 = 140

= 4×35 = 140

4,2,70,35 are in proportion.

10. Product of means = Product of extremes

= 10 × 0.36 = 3.6

= 4×0.9 = 3.6

4,10,0.36,0.9 are in proportion.

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