Question

find the fourth proportional of the following 13/14,5/7,12/5​

Answer 1

Answer:

Fourth proportional of $13/14, 5/7, 12/5$ is  $24/13$.

Step-by-step explanation:

Fourth proportional is defined as following:

$d$ is known as the fourth proportional of $a, b, c$ when $a:b = c : d$.

where $a,b,c,d$ are four numbers.

Solution:

Let $x$ be the fourth proportional of $13/14, 5/7, 12/5$. So by definition of fourth proportional, we can say the following:

$\Rightarrow13/14 : 5/ 7 =12/5:x\\\Rightarrow 13/14 * 7/5 = 12/(5*x)\\\Rightarrow x = 24/13$

Hence, our answer is $24/13$.