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Finding the Fourth Proportional to 28,500.86, 42,747.28 and 9,780.57

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Solution

The fourth proportional to 28,500.86, 42,747.28 and 9,780.57 is: 14,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,500.86 : 42,747.28 = 9,780.57 : x
  2. Step 2: Convert to fraction form
    28,500.86/42,747.28 = 9,780.57/x
  3. Step 3: Cross multiply
    28,500.86x = 42,747.28 × 9,780.57
  4. Step 4: Simplify right side
    28,500.86x = 418,092,739.90
  5. Step 5: Solve for x
    x = 418,092,739.90/28,500.86
  6. Step 6: Final answer
    x = 14,669.48

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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.