Answer to Question #6818 in Algebra for Akhtar rasul

Question

Expert Sir in our country pkistan we use a method ratio and proportion known as k-Method but i dont know what is the purpose of k-method and when we use k-method try to explian purpose of k-method.where k is a constant.for example to prove a/b=c/d=e/f=(a+c+e)/(b+d+f) we supose a/b=c/d=e/f=k which gives a=bk,c=dk,e=fk putting in right hand side we get (a+c+e)/)b+d+f)=(b+d+f)k/(b+d+f)=k