Question

If a : b = 3:2, b : c = 1:1 ,c : d = 5:3, then find a : b: c : d

Answer 1

a : b : c : d = 15 : 10 : 10 : 6

Step-by-step explanation:

Given :

a : b = 3 : 2, b : c = 1 : 1, c : d = 5 : 3

To find :

a : b : c d = ?

Solution :

a : b = 3 : 2, b : c = 1 : 1

in 1st ratio, b part is 3, and in second ratio, b part is 1,

To make them equal, multiply by 2 in 2nd ratio.

therefore, a : b = 3 : 2, b : c = 2 : 2

therefore, a : b : c = 3 : 2 : 2

now, a : b : c = 3 : 2 : 2, and c : d = 5 : 3

Here, in 1st ratio, c part is 2 and in 2nd ratio c part is 5.

To make them equal, multiply 1st ratio by 5 and 2nd ratio by 2, we get.

a : b : c = 15 : 10 : 10 and c : d = 10 : 6

therefore, a : b : c : d = 15 : 10 : 10 : 6

Hence, a : b : c : d = 15 : 10 : 10 : 6