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Finding the Fourth Proportional to 20,765.49, 28,644 and 12,801.78

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Solution

The fourth proportional to 20,765.49, 28,644 and 12,801.78 is: 17,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.49 : 28,644 = 12,801.78 : x
  2. Step 2: Convert to fraction form
    20,765.49/28,644 = 12,801.78/x
  3. Step 3: Cross multiply
    20,765.49x = 28,644 × 12,801.78
  4. Step 4: Simplify right side
    20,765.49x = 366,694,186.32
  5. Step 5: Solve for x
    x = 366,694,186.32/20,765.49
  6. Step 6: Final answer
    x = 17,658.83

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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.