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Finding the Fourth Proportional to 20,124, 27,770.68 and 11,171.88

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Solution

The fourth proportional to 20,124, 27,770.68 and 11,171.88 is: 15,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 27,770.68 = 11,171.88 : x
  2. Step 2: Convert to fraction form
    20,124/27,770.68 = 11,171.88/x
  3. Step 3: Cross multiply
    20,124x = 27,770.68 × 11,171.88
  4. Step 4: Simplify right side
    20,124x = 310,250,704.48
  5. Step 5: Solve for x
    x = 310,250,704.48/20,124
  6. Step 6: Final answer
    x = 15,416.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.