Solve 1.44/1.86=3.94/x

$$\frac { 1.44 } { 1.86 } = \frac { 3.94 } { x }$$

Solve for x

$$x = \frac{6107}{1200} = 5\frac{107}{1200} \approx 5.089166667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{1.44}{1.86}=3.94$$

Expand \frac{1.44}{1.86} by multiplying both numerator and the denominator by 100.

$$x\times \frac{144}{186}=3.94$$

Reduce the fraction \frac{144}{186} to lowest terms by extracting and canceling out 6.

$$x\times \frac{24}{31}=3.94$$

Multiply both sides by \frac{31}{24}, the reciprocal of \frac{24}{31}.

$$x=3.94\times \frac{31}{24}$$

Convert decimal number 3.94 to fraction \frac{394}{100}. Reduce the fraction \frac{394}{100} to lowest terms by extracting and canceling out 2.

$$x=\frac{197}{50}\times \frac{31}{24}$$

Multiply \frac{197}{50} times \frac{31}{24} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{197\times 31}{50\times 24}$$

Do the multiplications in the fraction \frac{197\times 31}{50\times 24}.

$$x=\frac{6107}{1200}$$