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Finding the Fourth Proportional to 19,658.88, 29,481.92 and 7,344

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Solution

The fourth proportional to 19,658.88, 29,481.92 and 7,344 is: 11,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.88 : 29,481.92 = 7,344 : x
  2. Step 2: Convert to fraction form
    19,658.88/29,481.92 = 7,344/x
  3. Step 3: Cross multiply
    19,658.88x = 29,481.92 × 7,344
  4. Step 4: Simplify right side
    19,658.88x = 216,515,220.48
  5. Step 5: Solve for x
    x = 216,515,220.48/19,658.88
  6. Step 6: Final answer
    x = 11,013.61

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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.