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Finding the Fourth Proportional to 36,384, 54,593.28 and 11,760

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Solution

The fourth proportional to 36,384, 54,593.28 and 11,760 is: 17,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 54,593.28 = 11,760 : x
  2. Step 2: Convert to fraction form
    36,384/54,593.28 = 11,760/x
  3. Step 3: Cross multiply
    36,384x = 54,593.28 × 11,760
  4. Step 4: Simplify right side
    36,384x = 642,016,972.80
  5. Step 5: Solve for x
    x = 642,016,972.80/36,384
  6. Step 6: Final answer
    x = 17,645.59

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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.