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Finding the Fourth Proportional to 38,254.58, 57,391.11 and 13,291

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Solution

The fourth proportional to 38,254.58, 57,391.11 and 13,291 is: 19,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254.58 : 57,391.11 = 13,291 : x
  2. Step 2: Convert to fraction form
    38,254.58/57,391.11 = 13,291/x
  3. Step 3: Cross multiply
    38,254.58x = 57,391.11 × 13,291
  4. Step 4: Simplify right side
    38,254.58x = 762,785,243.01
  5. Step 5: Solve for x
    x = 762,785,243.01/38,254.58
  6. Step 6: Final answer
    x = 19,939.71

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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.