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Finding the Fourth Proportional to 38,659, 57,998.22 and 10,957

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Solution

The fourth proportional to 38,659, 57,998.22 and 10,957 is: 16,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,659 : 57,998.22 = 10,957 : x
  2. Step 2: Convert to fraction form
    38,659/57,998.22 = 10,957/x
  3. Step 3: Cross multiply
    38,659x = 57,998.22 × 10,957
  4. Step 4: Simplify right side
    38,659x = 635,486,496.54
  5. Step 5: Solve for x
    x = 635,486,496.54/38,659
  6. Step 6: Final answer
    x = 16,438.25

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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.