Answer:
j : k : m = 4 : 12 : 15
Step-by-step explanation:
Given
j : k = 1 : 3 , then k = 3j
Given
k : m = 4 : 5
then expressing in fractional terms
[tex]\frac{k}{m}[/tex] = [tex]\frac{4}{5}[/tex] ( substitute k = 3j )
[tex]\frac{3j}{m}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4m = 15j ( divide both sides by 4 )
m = [tex]\frac{15}{4}[/tex] j , so
j : k : m = 1 : 3 : [tex]\frac{15}{4}[/tex] ( multiply each part by 4 to clear the fraction )
= 4 : 12 : 15
