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Finding the Fourth Proportional to 18,092.20, 27,134.20 and 6,405.42

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Solution

The fourth proportional to 18,092.20, 27,134.20 and 6,405.42 is: 9,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092.20 : 27,134.20 = 6,405.42 : x
  2. Step 2: Convert to fraction form
    18,092.20/27,134.20 = 6,405.42/x
  3. Step 3: Cross multiply
    18,092.20x = 27,134.20 × 6,405.42
  4. Step 4: Simplify right side
    18,092.20x = 173,805,947.36
  5. Step 5: Solve for x
    x = 173,805,947.36/18,092.20
  6. Step 6: Final answer
    x = 9,606.68

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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.