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Finding the Fourth Proportional to 8,240.91, 12,426.01 and 7,552

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Solution

The fourth proportional to 8,240.91, 12,426.01 and 7,552 is: 11,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.91 : 12,426.01 = 7,552 : x
  2. Step 2: Convert to fraction form
    8,240.91/12,426.01 = 7,552/x
  3. Step 3: Cross multiply
    8,240.91x = 12,426.01 × 7,552
  4. Step 4: Simplify right side
    8,240.91x = 93,841,227.52
  5. Step 5: Solve for x
    x = 93,841,227.52/8,240.91
  6. Step 6: Final answer
    x = 11,387.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.