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Finding the Fourth Proportional to 26,625, 36,747.36 and 15,447

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Solution

The fourth proportional to 26,625, 36,747.36 and 15,447 is: 21,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,625 : 36,747.36 = 15,447 : x
  2. Step 2: Convert to fraction form
    26,625/36,747.36 = 15,447/x
  3. Step 3: Cross multiply
    26,625x = 36,747.36 × 15,447
  4. Step 4: Simplify right side
    26,625x = 567,636,469.92
  5. Step 5: Solve for x
    x = 567,636,469.92/26,625
  6. Step 6: Final answer
    x = 21,319.68

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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.