Question

Find x if 4, x, 32, 64 are in proportion

Answer 1

$\huge\bold\red{Question}$

• Find x if 4, x, 32, 64 are in proportion

$\huge\bold\red{Solution}$

${\small{\sf{\red{To \: the \: value \: of \:}}}}$${\small{\sf{\purple{x}}}}$${\small{\sf{\red{, \: we \: will}}}}$${\small{\sf{\red{Use \: the \: formula:-}}}}$

${\small{\sf{\pink{Product \: of \: extremes=product \: of \: means}}}}$

Now with this we will know what is 'means'.

• Means is the middle part of the proportion.

And 'Extremes'.

• This is the exterior part of the proportion.

This means two ratios are said to be in proportion only if product of means is equal to product of extremes.

• i.e.,32×x=4×64

So now as x has to be founded in this case we will use algebraic expression to solve this.

• $\implies$${\small{\sf{\red{32x=4×64}}}}$

Now we will multiply extremes first.

• $\implies$${\small{\sf{\red{32x=256}}}}$

Then we will move 32 to R.H.S. as all constants needs to be on R.H.S by changing there sign.

So ×32 will be ÷32.

• $\implies$${\small{\sf{\red{x=256÷32}}}}$

Now on division 256 and 32 gives 8 as the quotient.

• $\implies$${\small{\sf{\red{x=8}}}}$

$\small\bold\purple{Value \: of \: x \: is \: 8.}$