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Finding the Fourth Proportional to 27,757.28, 41,640.28 and 11,966.79

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Solution

The fourth proportional to 27,757.28, 41,640.28 and 11,966.79 is: 17,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.28 : 41,640.28 = 11,966.79 : x
  2. Step 2: Convert to fraction form
    27,757.28/41,640.28 = 11,966.79/x
  3. Step 3: Cross multiply
    27,757.28x = 41,640.28 × 11,966.79
  4. Step 4: Simplify right side
    27,757.28x = 498,300,679.85
  5. Step 5: Solve for x
    x = 498,300,679.85/27,757.28
  6. Step 6: Final answer
    x = 17,952.07

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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.