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Finding the Fourth Proportional to 7,767.80, 11,653.52 and 2,221.22

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Solution

The fourth proportional to 7,767.80, 11,653.52 and 2,221.22 is: 3,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.80 : 11,653.52 = 2,221.22 : x
  2. Step 2: Convert to fraction form
    7,767.80/11,653.52 = 2,221.22/x
  3. Step 3: Cross multiply
    7,767.80x = 11,653.52 × 2,221.22
  4. Step 4: Simplify right side
    7,767.80x = 25,885,031.69
  5. Step 5: Solve for x
    x = 25,885,031.69/7,767.80
  6. Step 6: Final answer
    x = 3,332.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.