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Finding the Fourth Proportional to 17,780.80, 24,538.80 and 10,711.12

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Solution

The fourth proportional to 17,780.80, 24,538.80 and 10,711.12 is: 14,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.80 : 24,538.80 = 10,711.12 : x
  2. Step 2: Convert to fraction form
    17,780.80/24,538.80 = 10,711.12/x
  3. Step 3: Cross multiply
    17,780.80x = 24,538.80 × 10,711.12
  4. Step 4: Simplify right side
    17,780.80x = 262,838,031.46
  5. Step 5: Solve for x
    x = 262,838,031.46/17,780.80
  6. Step 6: Final answer
    x = 14,782.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.