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Finding the Fourth Proportional to 27,744, 38,286.72 and 15,168.75

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Solution

The fourth proportional to 27,744, 38,286.72 and 15,168.75 is: 20,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744 : 38,286.72 = 15,168.75 : x
  2. Step 2: Convert to fraction form
    27,744/38,286.72 = 15,168.75/x
  3. Step 3: Cross multiply
    27,744x = 38,286.72 × 15,168.75
  4. Step 4: Simplify right side
    27,744x = 580,761,684
  5. Step 5: Solve for x
    x = 580,761,684/27,744
  6. Step 6: Final answer
    x = 20,932.88

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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.