Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as
[tex]\dfrac{4}{x}=\dfrac{x}{16}[/tex]
On cross multiplication, we get
[tex]4\times 16=x\times x[/tex]
[tex]64=x^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{64}=x[/tex]
[tex]\pm 8=x[/tex]
Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.
