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Finding the Fourth Proportional to 38,045, 57,067.68 and 13,421

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Solution

The fourth proportional to 38,045, 57,067.68 and 13,421 is: 20,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,045 : 57,067.68 = 13,421 : x
  2. Step 2: Convert to fraction form
    38,045/57,067.68 = 13,421/x
  3. Step 3: Cross multiply
    38,045x = 57,067.68 × 13,421
  4. Step 4: Simplify right side
    38,045x = 765,905,333.28
  5. Step 5: Solve for x
    x = 765,905,333.28/38,045
  6. Step 6: Final answer
    x = 20,131.56

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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.