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Finding the Fourth Proportional to 18,654.44, 27,978 and 5,503.28

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Solution

The fourth proportional to 18,654.44, 27,978 and 5,503.28 is: 8,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.44 : 27,978 = 5,503.28 : x
  2. Step 2: Convert to fraction form
    18,654.44/27,978 = 5,503.28/x
  3. Step 3: Cross multiply
    18,654.44x = 27,978 × 5,503.28
  4. Step 4: Simplify right side
    18,654.44x = 153,970,627.95
  5. Step 5: Solve for x
    x = 153,970,627.95/18,654.44
  6. Step 6: Final answer
    x = 8,253.83

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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.