Question

Select the Pair(s) of ratios that form a proportion.

Answer 1

Option 3

Explanation:

If two ratios
`(a)/(b)` and
`(c)/(d)` are proportional,

`(a)/(b)=(c)/(d)`

By applying this property for the given options,

Option 1

If the given ratios
`(24)/(31)` and
`(20)/(27)` are proportional.

`(24)/(31)=(20)/(27)`

Which is false.

Therefore, ratios are not proportional.

Option 2

If the given ratios
`(8)/(9)` and
`(24)/(26)` are proportional,

`(8)/(9)= (24)/(36)`

`(8)/(9)= (6)/(9)`

False.

Therefore, given ratios are not proportional.

Option 3

If the given ratios
`(16)/(5)` and
`(64)/(20)` are proportional,

`(16)/(5)=(64)/(20)`

`(16)/(5)=(16)/(5)`

True.

Therefore, the given ratios are proportional.

Option 4

If the given ratios
`(6)/(4)` and
`(15)/(10)` are proportional,

`(6)/(4)=(15)/(10)`

`(3)/(2)= (3)/(2)`

True.

Therefore, given ratios are proportional.

Option 3 is the answer.