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Finding the Fourth Proportional to 36,357.76, 54,542.40 and 11,728

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Solution

The fourth proportional to 36,357.76, 54,542.40 and 11,728 is: 17,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,357.76 : 54,542.40 = 11,728 : x
  2. Step 2: Convert to fraction form
    36,357.76/54,542.40 = 11,728/x
  3. Step 3: Cross multiply
    36,357.76x = 54,542.40 × 11,728
  4. Step 4: Simplify right side
    36,357.76x = 639,673,267.20
  5. Step 5: Solve for x
    x = 639,673,267.20/36,357.76
  6. Step 6: Final answer
    x = 17,593.86

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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.