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Finding the Fourth Proportional to 27,879.35, 38,456 and 16,540.82

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Solution

The fourth proportional to 27,879.35, 38,456 and 16,540.82 is: 22,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.35 : 38,456 = 16,540.82 : x
  2. Step 2: Convert to fraction form
    27,879.35/38,456 = 16,540.82/x
  3. Step 3: Cross multiply
    27,879.35x = 38,456 × 16,540.82
  4. Step 4: Simplify right side
    27,879.35x = 636,093,773.92
  5. Step 5: Solve for x
    x = 636,093,773.92/27,879.35
  6. Step 6: Final answer
    x = 22,815.95

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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.