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Finding the Fourth Proportional to 20,121, 27,765.64 and 12,167.61

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Solution

The fourth proportional to 20,121, 27,765.64 and 12,167.61 is: 16,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 27,765.64 = 12,167.61 : x
  2. Step 2: Convert to fraction form
    20,121/27,765.64 = 12,167.61/x
  3. Step 3: Cross multiply
    20,121x = 27,765.64 × 12,167.61
  4. Step 4: Simplify right side
    20,121x = 337,841,478.92
  5. Step 5: Solve for x
    x = 337,841,478.92/20,121
  6. Step 6: Final answer
    x = 16,790.49

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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.