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Finding the Fourth Proportional to 18,077.92, 27,042 and 16,972

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Solution

The fourth proportional to 18,077.92, 27,042 and 16,972 is: 25,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,077.92 : 27,042 = 16,972 : x
  2. Step 2: Convert to fraction form
    18,077.92/27,042 = 16,972/x
  3. Step 3: Cross multiply
    18,077.92x = 27,042 × 16,972
  4. Step 4: Simplify right side
    18,077.92x = 458,956,824
  5. Step 5: Solve for x
    x = 458,956,824/18,077.92
  6. Step 6: Final answer
    x = 25,387.70

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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.