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Finding the Fourth Proportional to 12,497.92, 18,747.21 and 5,474.31

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Solution

The fourth proportional to 12,497.92, 18,747.21 and 5,474.31 is: 8,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.92 : 18,747.21 = 5,474.31 : x
  2. Step 2: Convert to fraction form
    12,497.92/18,747.21 = 5,474.31/x
  3. Step 3: Cross multiply
    12,497.92x = 18,747.21 × 5,474.31
  4. Step 4: Simplify right side
    12,497.92x = 102,628,039.18
  5. Step 5: Solve for x
    x = 102,628,039.18/12,497.92
  6. Step 6: Final answer
    x = 8,211.61

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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.