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Finding the Fourth Proportional to 8,013.52, 12,003.96 and 6,538

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Solution

The fourth proportional to 8,013.52, 12,003.96 and 6,538 is: 9,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.52 : 12,003.96 = 6,538 : x
  2. Step 2: Convert to fraction form
    8,013.52/12,003.96 = 6,538/x
  3. Step 3: Cross multiply
    8,013.52x = 12,003.96 × 6,538
  4. Step 4: Simplify right side
    8,013.52x = 78,481,890.48
  5. Step 5: Solve for x
    x = 78,481,890.48/8,013.52
  6. Step 6: Final answer
    x = 9,793.68

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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.