Question

What is the fourth proportional to 3,9,25

Answer 1

Step-by-step explanation:

Let the fourth proportional be 'x'.

3 : 9 : : 25 : x

$\frac{3}{9} = \frac{25}{x}$

$3x = 25 \times 9$

$3x = 225$

$x = \frac{225}{3}$

$x = 75$

The fourth proportion is 75.

Answer 2

Let the fourth term or proportional be ' x '

So,

3 : 9 : : 25 : x

Using

$\fbox{using Product of Extreme = Product of mean }$

$\implies 3 \times x = 9 \times 25$

here 9 and 25 are mean whereas 3 and x are extreme.

$\implies \: x=\frac{ 9 \times 25}{3} \\ \\ \implies \: x=\frac{ \cancel9 \times 25}{ \cancel3} \\ \\ \implies\: x=3 \times 25 \\ \\ \implies x=75$

So the Fourth proportion is 75

Hope This Helps You ❤️