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Finding the Fourth Proportional to 10,418.82, 15,615 and 7,502.82

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Solution

The fourth proportional to 10,418.82, 15,615 and 7,502.82 is: 11,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.82 : 15,615 = 7,502.82 : x
  2. Step 2: Convert to fraction form
    10,418.82/15,615 = 7,502.82/x
  3. Step 3: Cross multiply
    10,418.82x = 15,615 × 7,502.82
  4. Step 4: Simplify right side
    10,418.82x = 117,156,534.30
  5. Step 5: Solve for x
    x = 117,156,534.30/10,418.82
  6. Step 6: Final answer
    x = 11,244.70

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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.