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Finding the Fourth Proportional to 29,380.60, 44,078.19 and 13,780

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Solution

The fourth proportional to 29,380.60, 44,078.19 and 13,780 is: 20,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380.60 : 44,078.19 = 13,780 : x
  2. Step 2: Convert to fraction form
    29,380.60/44,078.19 = 13,780/x
  3. Step 3: Cross multiply
    29,380.60x = 44,078.19 × 13,780
  4. Step 4: Simplify right side
    29,380.60x = 607,397,458.20
  5. Step 5: Solve for x
    x = 607,397,458.20/29,380.60
  6. Step 6: Final answer
    x = 20,673.42

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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.