Question

Which of the following are in proportion?
a) 6,8,3,4 b) 5,7,3,4 c) 5, 10,20,12 d) 12,16,8,3

Answer 1

Answer:

a) 6, 8, 3, 4 are in proportion

b) 5, 7, 3, 4 are not in proportion.

c) 5, 10, 20, 12 are not in proportion.

d) 12, 16, 8, 3 are not in proportion.

Step-by-step explanation:

a) 6:8 =

$\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4} =$

3:4

3:4 =

$\frac{3}{4} =$

3:4

Since, 6:8 = 3:4

Therefore, 6, 8, 3, 4 are in proportion.

b) 5:7 =

$\frac{5}{7} =$

5:7

3:4 =

$\frac{3}{4} =$

3:4

Since, 5:7 ≠ 3:4

Therefore, 5, 7, 3, 4 are not in proportion.

c) 5:10 =

$\frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2} =$

1:2

20:12 =

$\frac{20}{12} = \frac{20 \div 4}{12 \div 4} = \frac{5}{4} =$

5:4

Since, 1:2 ≠ 5:4

Therefore, 5, 10, 20, 12 are not in proportion.

d) 12:16 =

$\frac{12}{16} = \frac{12 \div 4}{16 \div 4} = \frac{3}{4} =$

3:4

8:3 =

$\frac{8}{3} =$

8:3

Since, 3:4 ≠ 8:3

Therefore, 12, 16, 8, 3 are not in proportion.