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Finding the Fourth Proportional to 38,269.40, 57,404 and 10,189.44

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Solution

The fourth proportional to 38,269.40, 57,404 and 10,189.44 is: 15,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,269.40 : 57,404 = 10,189.44 : x
  2. Step 2: Convert to fraction form
    38,269.40/57,404 = 10,189.44/x
  3. Step 3: Cross multiply
    38,269.40x = 57,404 × 10,189.44
  4. Step 4: Simplify right side
    38,269.40x = 584,914,613.76
  5. Step 5: Solve for x
    x = 584,914,613.76/38,269.40
  6. Step 6: Final answer
    x = 15,284.13

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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.