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Finding the Fourth Proportional to 20,625, 28,469.88 and 12,241.50

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Solution

The fourth proportional to 20,625, 28,469.88 and 12,241.50 is: 16,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,625 : 28,469.88 = 12,241.50 : x
  2. Step 2: Convert to fraction form
    20,625/28,469.88 = 12,241.50/x
  3. Step 3: Cross multiply
    20,625x = 28,469.88 × 12,241.50
  4. Step 4: Simplify right side
    20,625x = 348,514,036.02
  5. Step 5: Solve for x
    x = 348,514,036.02/20,625
  6. Step 6: Final answer
    x = 16,897.65

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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.