Question

What is the value of p in this proportion?

310p=4514

Enter your answer as a simplified fraction in the box.

Answer 1

p =
`(3)/(32)`

Explanation:

`((3)/(10) )/(p)` =
`((4)/(5) )/((1)/(4) )` ( cross- multiply )

`(4)/(5)` p =
`(3)/(10)` ×
`(1)/(4)` =
`(3)/(40)`

Multiply both sides by
`(5)/(4)` to clear the fraction on left side

p =
`(5)/(4)` ×
`(3)/(40)` =
`(1)/(4)` ×
`(3)/(8)` =
`(3)/(32)`