If 4 : 16 :: 7.3 : x and 4 : 32 :: 7 : y. What is the ratio of x to y?

Correct option is A

Given:

4 : 16 :: 7.3 : x

4 : 32 :: 7 : y

We need to find the ratio of x to y

Formula Used:

For the proportion a : b :: c : d, we have a × d = b × c

Solution:

From the first proportion: 

4 : 16 :: 7.3 : x

​$$\frac{4}{16} = \frac{7.3}{x}$$​​

​$$x = \frac{7.3 \times 16}{4} = \frac{116.8}{4} = 29.2$$​​

From the second proportion: 

4 : 32 :: 7 : y

​$$\frac{4}{32} = \frac{7}{y}$$​​

​$$y = \frac{7 \times 32}{4} = \frac{224}{4} = 56$$​​

Now, the ratio of x to y

​$$\frac{x}{y} = \frac{29.2}{56} = \frac{73}{140}$$​​