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Finding the Fourth Proportional to 38,538.44, 57,815.46 and 21,906.44

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Solution

The fourth proportional to 38,538.44, 57,815.46 and 21,906.44 is: 32,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.44 : 57,815.46 = 21,906.44 : x
  2. Step 2: Convert to fraction form
    38,538.44/57,815.46 = 21,906.44/x
  3. Step 3: Cross multiply
    38,538.44x = 57,815.46 × 21,906.44
  4. Step 4: Simplify right side
    38,538.44x = 1,266,530,905.56
  5. Step 5: Solve for x
    x = 1,266,530,905.56/38,538.44
  6. Step 6: Final answer
    x = 32,864.09

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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.