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Finding the Fourth Proportional to 27,758, 38,324.54 and 16,431.12

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Solution

The fourth proportional to 27,758, 38,324.54 and 16,431.12 is: 22,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758 : 38,324.54 = 16,431.12 : x
  2. Step 2: Convert to fraction form
    27,758/38,324.54 = 16,431.12/x
  3. Step 3: Cross multiply
    27,758x = 38,324.54 × 16,431.12
  4. Step 4: Simplify right side
    27,758x = 629,715,115.68
  5. Step 5: Solve for x
    x = 629,715,115.68/27,758
  6. Step 6: Final answer
    x = 22,685.90

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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.