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Finding the Fourth Proportional to 29,178.87, 43,764.65 and 8,120.49

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Solution

The fourth proportional to 29,178.87, 43,764.65 and 8,120.49 is: 12,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178.87 : 43,764.65 = 8,120.49 : x
  2. Step 2: Convert to fraction form
    29,178.87/43,764.65 = 8,120.49/x
  3. Step 3: Cross multiply
    29,178.87x = 43,764.65 × 8,120.49
  4. Step 4: Simplify right side
    29,178.87x = 355,390,402.68
  5. Step 5: Solve for x
    x = 355,390,402.68/29,178.87
  6. Step 6: Final answer
    x = 12,179.72

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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.