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Finding the Fourth Proportional to 38,524, 57,786.24 and 13,900

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Solution

The fourth proportional to 38,524, 57,786.24 and 13,900 is: 20,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524 : 57,786.24 = 13,900 : x
  2. Step 2: Convert to fraction form
    38,524/57,786.24 = 13,900/x
  3. Step 3: Cross multiply
    38,524x = 57,786.24 × 13,900
  4. Step 4: Simplify right side
    38,524x = 803,228,736
  5. Step 5: Solve for x
    x = 803,228,736/38,524
  6. Step 6: Final answer
    x = 20,850.09

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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.