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Finding the Fourth Proportional to 27,857.25, 41,789.84 and 9,138.74

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Solution

The fourth proportional to 27,857.25, 41,789.84 and 9,138.74 is: 13,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.25 : 41,789.84 = 9,138.74 : x
  2. Step 2: Convert to fraction form
    27,857.25/41,789.84 = 9,138.74/x
  3. Step 3: Cross multiply
    27,857.25x = 41,789.84 × 9,138.74
  4. Step 4: Simplify right side
    27,857.25x = 381,906,514.23
  5. Step 5: Solve for x
    x = 381,906,514.23/27,857.25
  6. Step 6: Final answer
    x = 13,709.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.