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Finding the Fourth Proportional to 10,408.52, 15,620.48 and 7,642.37

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Solution

The fourth proportional to 10,408.52, 15,620.48 and 7,642.37 is: 11,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.52 : 15,620.48 = 7,642.37 : x
  2. Step 2: Convert to fraction form
    10,408.52/15,620.48 = 7,642.37/x
  3. Step 3: Cross multiply
    10,408.52x = 15,620.48 × 7,642.37
  4. Step 4: Simplify right side
    10,408.52x = 119,377,371.42
  5. Step 5: Solve for x
    x = 119,377,371.42/10,408.52
  6. Step 6: Final answer
    x = 11,469.20

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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.