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Finding the Fourth Proportional to 8,229.42, 11,356.56 and 7,560

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Solution

The fourth proportional to 8,229.42, 11,356.56 and 7,560 is: 10,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.42 : 11,356.56 = 7,560 : x
  2. Step 2: Convert to fraction form
    8,229.42/11,356.56 = 7,560/x
  3. Step 3: Cross multiply
    8,229.42x = 11,356.56 × 7,560
  4. Step 4: Simplify right side
    8,229.42x = 85,855,593.60
  5. Step 5: Solve for x
    x = 85,855,593.60/8,229.42
  6. Step 6: Final answer
    x = 10,432.76

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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.