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Finding the Fourth Proportional to 18,517.68, 27,743.04 and 12,262.86

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Solution

The fourth proportional to 18,517.68, 27,743.04 and 12,262.86 is: 18,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517.68 : 27,743.04 = 12,262.86 : x
  2. Step 2: Convert to fraction form
    18,517.68/27,743.04 = 12,262.86/x
  3. Step 3: Cross multiply
    18,517.68x = 27,743.04 × 12,262.86
  4. Step 4: Simplify right side
    18,517.68x = 340,209,015.49
  5. Step 5: Solve for x
    x = 340,209,015.49/18,517.68
  6. Step 6: Final answer
    x = 18,372.12

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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.