Proportion Ba096B

1. **Stating the problem:** We need to understand what a proportion is and how to solve problems involving proportions. 2. **Definition and formula:** A proportion states that two ratios or fractions are equal. It can be written as $$\frac{a}{b} = \frac{c}{d}$$ where $a$, $b$, $c$, and $d$ are numbers and $b \neq 0$, $d \neq 0$. 3. **Important rule:** To solve for an unknown in a proportion, use the cross multiplication property: $$a \times d = b \times c$$. 4. **Example:** Suppose we have $$\frac{3}{x} = \frac{6}{8}$$ and want to find $x$. 5. **Cross multiply:** $$3 \times 8 = 6 \times x$$ which simplifies to $$24 = 6x$$. 6. **Solve for $x$:** Divide both sides by 6: $$\frac{24}{\cancel{6}} = \frac{6x}{\cancel{6}}$$ which gives $$4 = x$$. 7. **Answer:** The value of $x$ is 4. This is how proportions work and how to solve for unknowns using cross multiplication.