To find the fourth proportional of 2, 3, and 6, we use the concept of proportions. In a proportion, the product of the means is equal to the product of the extremes.

Let the fourth proportional be \( x \). We set up the proportion as:

\[
\frac{2}{3} = \frac{6}{x}
\]

Now, cross-multiply:

\[
2 \cdot x = 3 \cdot 6
\]

\[
2x = 18
\]

Solve for \( x \):

\[
x = \frac{18}{2} = 9
\]

Thus, the fourth proportional is **9**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the third proportional of two numbers?
2. How can you find the mean proportional of two numbers?
3. What is the fourth proportional to 4, 5, and 8?
4. How are proportions used in geometry?
5. Can proportions help solve real-world problems?

**Tip:** Cross-multiplication is a key technique for solving proportions.

Discover how to find the fourth proportional of the numbers 2, 3, and 6 using cross-multiplication. This step-by-step guide explains the proportional formula and applies the proportion theorem. Suitable for students in Grades 6-8.

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