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Finding the Fourth Proportional to 8,241.76, 12,364.18 and 3,311.78

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Solution

The fourth proportional to 8,241.76, 12,364.18 and 3,311.78 is: 4,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.76 : 12,364.18 = 3,311.78 : x
  2. Step 2: Convert to fraction form
    8,241.76/12,364.18 = 3,311.78/x
  3. Step 3: Cross multiply
    8,241.76x = 12,364.18 × 3,311.78
  4. Step 4: Simplify right side
    8,241.76x = 40,947,444.04
  5. Step 5: Solve for x
    x = 40,947,444.04/8,241.76
  6. Step 6: Final answer
    x = 4,968.29

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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.