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Finding the Fourth Proportional to 18,279.52, 27,382.72 and 8,405.28

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Solution

The fourth proportional to 18,279.52, 27,382.72 and 8,405.28 is: 12,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,279.52 : 27,382.72 = 8,405.28 : x
  2. Step 2: Convert to fraction form
    18,279.52/27,382.72 = 8,405.28/x
  3. Step 3: Cross multiply
    18,279.52x = 27,382.72 × 8,405.28
  4. Step 4: Simplify right side
    18,279.52x = 230,159,428.76
  5. Step 5: Solve for x
    x = 230,159,428.76/18,279.52
  6. Step 6: Final answer
    x = 12,591.11

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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.