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Finding the Fourth Proportional to 27,199.87, 40,801.78 and 11,389

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Solution

The fourth proportional to 27,199.87, 40,801.78 and 11,389 is: 17,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.87 : 40,801.78 = 11,389 : x
  2. Step 2: Convert to fraction form
    27,199.87/40,801.78 = 11,389/x
  3. Step 3: Cross multiply
    27,199.87x = 40,801.78 × 11,389
  4. Step 4: Simplify right side
    27,199.87x = 464,691,472.42
  5. Step 5: Solve for x
    x = 464,691,472.42/27,199.87
  6. Step 6: Final answer
    x = 17,084.33

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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.