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Finding the Fourth Proportional to 38,253.60, 57,380.10 and 22,660

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Solution

The fourth proportional to 38,253.60, 57,380.10 and 22,660 is: 33,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253.60 : 57,380.10 = 22,660 : x
  2. Step 2: Convert to fraction form
    38,253.60/57,380.10 = 22,660/x
  3. Step 3: Cross multiply
    38,253.60x = 57,380.10 × 22,660
  4. Step 4: Simplify right side
    38,253.60x = 1,300,233,066
  5. Step 5: Solve for x
    x = 1,300,233,066/38,253.60
  6. Step 6: Final answer
    x = 33,989.82

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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.