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Finding the Fourth Proportional to 3,991.68, 5,991.12 and 2,766.96

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Solution

The fourth proportional to 3,991.68, 5,991.12 and 2,766.96 is: 4,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.68 : 5,991.12 = 2,766.96 : x
  2. Step 2: Convert to fraction form
    3,991.68/5,991.12 = 2,766.96/x
  3. Step 3: Cross multiply
    3,991.68x = 5,991.12 × 2,766.96
  4. Step 4: Simplify right side
    3,991.68x = 16,577,189.40
  5. Step 5: Solve for x
    x = 16,577,189.40/3,991.68
  6. Step 6: Final answer
    x = 4,152.94

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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.