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Finding the Fourth Proportional to 47,474.79, 71,212.87 and 12,414.45

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Solution

The fourth proportional to 47,474.79, 71,212.87 and 12,414.45 is: 18,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.79 : 71,212.87 = 12,414.45 : x
  2. Step 2: Convert to fraction form
    47,474.79/71,212.87 = 12,414.45/x
  3. Step 3: Cross multiply
    47,474.79x = 71,212.87 × 12,414.45
  4. Step 4: Simplify right side
    47,474.79x = 884,068,426.13
  5. Step 5: Solve for x
    x = 884,068,426.13/47,474.79
  6. Step 6: Final answer
    x = 18,621.85

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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.