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Finding the Fourth Proportional to 7,906.48, 11,866.90 and 4,211.86

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Solution

The fourth proportional to 7,906.48, 11,866.90 and 4,211.86 is: 6,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.48 : 11,866.90 = 4,211.86 : x
  2. Step 2: Convert to fraction form
    7,906.48/11,866.90 = 4,211.86/x
  3. Step 3: Cross multiply
    7,906.48x = 11,866.90 × 4,211.86
  4. Step 4: Simplify right side
    7,906.48x = 49,981,721.43
  5. Step 5: Solve for x
    x = 49,981,721.43/7,906.48
  6. Step 6: Final answer
    x = 6,321.61

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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.