Question

value of x in proportion 2:3::4:x is

Answer 1

The value of x = 6

Given :

2 : 3 :: 4 : x

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that

2 : 3 :: 4 : x

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 2 : 3 :: 4 : x }$

$\displaystyle \sf{ \implies \frac{2}{3} = \frac{4}{x} }$

$\displaystyle \sf{ \implies 2x = 12 }$

$\displaystyle \sf{ \implies x = \frac{12}{2} }$

$\displaystyle \sf{ \implies x = 6 }$

Hence the required value of x = 6

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Answer 2

Concept:

Proportions is when two or more ratios are equal. The symbol is equals to or colon symbol.

Given:

The proportion $2:3::4:x$

Find:

Value of x in proportion.

Solution:

According to the problem,

The proportion $2:3::4:x$ can be written as,

$\frac{2}{3}=\frac{4}{x}$

$x=\frac{4*3}{2}$

$x=6$

Hence the value of $x$ is $6$.