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Finding the Fourth Proportional to 8,468.45, 12,689.92 and 7,545.66

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Solution

The fourth proportional to 8,468.45, 12,689.92 and 7,545.66 is: 11,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.45 : 12,689.92 = 7,545.66 : x
  2. Step 2: Convert to fraction form
    8,468.45/12,689.92 = 7,545.66/x
  3. Step 3: Cross multiply
    8,468.45x = 12,689.92 × 7,545.66
  4. Step 4: Simplify right side
    8,468.45x = 95,753,821.75
  5. Step 5: Solve for x
    x = 95,753,821.75/8,468.45
  6. Step 6: Final answer
    x = 11,307.12

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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.