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Finding the Fourth Proportional to 38,553.68, 57,791.12 and 21,878.50

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Solution

The fourth proportional to 38,553.68, 57,791.12 and 21,878.50 is: 32,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,553.68 : 57,791.12 = 21,878.50 : x
  2. Step 2: Convert to fraction form
    38,553.68/57,791.12 = 21,878.50/x
  3. Step 3: Cross multiply
    38,553.68x = 57,791.12 × 21,878.50
  4. Step 4: Simplify right side
    38,553.68x = 1,264,383,018.92
  5. Step 5: Solve for x
    x = 1,264,383,018.92/38,553.68
  6. Step 6: Final answer
    x = 32,795.39

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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.