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Finding the Fourth Proportional to 8,164.76, 12,247.13 and 3,237.86

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Solution

The fourth proportional to 8,164.76, 12,247.13 and 3,237.86 is: 4,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.76 : 12,247.13 = 3,237.86 : x
  2. Step 2: Convert to fraction form
    8,164.76/12,247.13 = 3,237.86/x
  3. Step 3: Cross multiply
    8,164.76x = 12,247.13 × 3,237.86
  4. Step 4: Simplify right side
    8,164.76x = 39,654,531.05
  5. Step 5: Solve for x
    x = 39,654,531.05/8,164.76
  6. Step 6: Final answer
    x = 4,856.79

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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.