x = 5
Step-by-step explanation:
Looking at the ratios of height to base:
Smaller triangle  3x + 1 : 12
Larger triangle  4x : 3 + 12  =  4x : 15
Therefore as triangles are similar:
3x + 1 : 12 Â = Â 4x : 15
Write as fractions:
⇒ ![\dfrac{3x+1}{12}=\dfrac{4x}{15}](/tpl/images/2666/7726/c82cc.png)
Cross multiply and solve for x:
⇒ 15(3x + 1) = 12 · 4x
⇒ 45x + 15 = 48x
⇒ 15 = 3x
⇒ x = 5