Question

Find the volume of x is the proportion 3:8 :: 6:x

Answer 1

Answer:

Step-by-step explanation:

3:8 ::6:x

3x=48

x=16

As,

Product of extreme is =product of interior

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The value of x is 16

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

The Proportion = 3 : 8 : : 6 : x

To find :

The value of x

Solution :-

$\star$ As we know :

${\boxed{\sf\:{Mean \times Mean \: Terms = Extreme \times Extreme \: Terms}}}$

Mean Terms = 8 and 6

Extreme Terms = 3 and x

$\star{\implies{\sf 8 \times 6 = 3 \times x}}$

$\star{\implies{\sf 48= 3 x}}$

$\star{\implies{\sf x = \dfrac{48}{3}}}$

$\star{\implies{\sf x = 16}}$

$\boxed{\: {\sf x = 16}}$

$\therefore$ The value of x is 16

$\textbf{\underline{\underline{Verification :-}}}$

$\star{\implies{\sf 8 \times 6 = 3 \times 16}}$

$\star{\implies{\sf 48 = 48}}$

When we placed the value of x we got the required answer 48.

$\therefore$ The value of x is 16