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Finding the Fourth Proportional to 15,625, 21,562.50 and 11,649.52

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Solution

The fourth proportional to 15,625, 21,562.50 and 11,649.52 is: 16,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,625 : 21,562.50 = 11,649.52 : x
  2. Step 2: Convert to fraction form
    15,625/21,562.50 = 11,649.52/x
  3. Step 3: Cross multiply
    15,625x = 21,562.50 × 11,649.52
  4. Step 4: Simplify right side
    15,625x = 251,192,775
  5. Step 5: Solve for x
    x = 251,192,775/15,625
  6. Step 6: Final answer
    x = 16,076.34

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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.