Question

If A : B = 3 : 4, C : B = 5 : 4, C : D = 10 : 9, then A : B : C : D is

Answer 1

First, let's write the ratios in the same order as the question.

A : B = 3 : 4, B : C = 4 : 5, C : D = 10 : 9

From that we can already see that A : B : C = 3 : 4 : 5

Now let's look at B : C and C : D
B : C = 4 : 5; C : D = 10 : 9
If we divide the numbers in the C:D ratio by 2, we get C : D = 5 : 4.5

That gives us
A : B : C : D = 3 : 4 : 5 : 4.5

If we don't want decimals, we multiply all numbers by 2 to get
A : B : C : D = 6 : 8 : 10 : 9

Answer 2

thank u mathstudent55 ....

Answer 3

You're welcome.