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Finding the Fourth Proportional to 7,691.10, 11,529.90 and 5,217.90

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Solution

The fourth proportional to 7,691.10, 11,529.90 and 5,217.90 is: 7,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.10 : 11,529.90 = 5,217.90 : x
  2. Step 2: Convert to fraction form
    7,691.10/11,529.90 = 5,217.90/x
  3. Step 3: Cross multiply
    7,691.10x = 11,529.90 × 5,217.90
  4. Step 4: Simplify right side
    7,691.10x = 60,161,865.21
  5. Step 5: Solve for x
    x = 60,161,865.21/7,691.10
  6. Step 6: Final answer
    x = 7,822.27

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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.