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Finding the Fourth Proportional to 20,201.76, 27,879.12 and 11,248.92

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Solution

The fourth proportional to 20,201.76, 27,879.12 and 11,248.92 is: 15,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.76 : 27,879.12 = 11,248.92 : x
  2. Step 2: Convert to fraction form
    20,201.76/27,879.12 = 11,248.92/x
  3. Step 3: Cross multiply
    20,201.76x = 27,879.12 × 11,248.92
  4. Step 4: Simplify right side
    20,201.76x = 313,609,990.55
  5. Step 5: Solve for x
    x = 313,609,990.55/20,201.76
  6. Step 6: Final answer
    x = 15,523.89

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1.5x scale

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.