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Finding the Fourth Proportional to 27,810, 41,721.72 and 11,394

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Solution

The fourth proportional to 27,810, 41,721.72 and 11,394 is: 17,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810 : 41,721.72 = 11,394 : x
  2. Step 2: Convert to fraction form
    27,810/41,721.72 = 11,394/x
  3. Step 3: Cross multiply
    27,810x = 41,721.72 × 11,394
  4. Step 4: Simplify right side
    27,810x = 475,377,277.68
  5. Step 5: Solve for x
    x = 475,377,277.68/27,810
  6. Step 6: Final answer
    x = 17,093.75

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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.