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Finding the Fourth Proportional to 38,138.40, 57,218.40 and 11,845.80

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Solution

The fourth proportional to 38,138.40, 57,218.40 and 11,845.80 is: 17,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138.40 : 57,218.40 = 11,845.80 : x
  2. Step 2: Convert to fraction form
    38,138.40/57,218.40 = 11,845.80/x
  3. Step 3: Cross multiply
    38,138.40x = 57,218.40 × 11,845.80
  4. Step 4: Simplify right side
    38,138.40x = 677,797,722.72
  5. Step 5: Solve for x
    x = 677,797,722.72/38,138.40
  6. Step 6: Final answer
    x = 17,772.05

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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.