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Finding the Fourth Proportional to 29,138.13, 43,708.13 and 8,078.39

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Solution

The fourth proportional to 29,138.13, 43,708.13 and 8,078.39 is: 12,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.13 : 43,708.13 = 8,078.39 : x
  2. Step 2: Convert to fraction form
    29,138.13/43,708.13 = 8,078.39/x
  3. Step 3: Cross multiply
    29,138.13x = 43,708.13 × 8,078.39
  4. Step 4: Simplify right side
    29,138.13x = 353,091,320.31
  5. Step 5: Solve for x
    x = 353,091,320.31/29,138.13
  6. Step 6: Final answer
    x = 12,117.84

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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.