Question

Which of the following proportions is the same as the proportion given?

Answer 1

What the first person said

Explanation:

Answer 2

Option 3. is true.

Explanation:

The given proportion is
`(4)/(x) =(16)/(48)`, which gives x = 12

Now, the proportion in option 1 is
`(16)/(x)=(4)/(48)`, which gives x = 12 × 16

Now, the proportion in option 2. is
`(48)/(16) =(4)/(x)`, which gives x =
`(4)/(3)`.

Now, the proportion in option 3. is
`(48)/(16) =(x)/(4)`, which gives x = 12.

Now, the proportion in option 4. is
`(x)/(48) =(16)/(4)`, which gives x = 4 × 48.

Therefore, option 3. is true. (Answer)