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Finding the Fourth Proportional to 3,990.68, 5,989.14 and 2,766.71

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Solution

The fourth proportional to 3,990.68, 5,989.14 and 2,766.71 is: 4,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.68 : 5,989.14 = 2,766.71 : x
  2. Step 2: Convert to fraction form
    3,990.68/5,989.14 = 2,766.71/x
  3. Step 3: Cross multiply
    3,990.68x = 5,989.14 × 2,766.71
  4. Step 4: Simplify right side
    3,990.68x = 16,570,213.53
  5. Step 5: Solve for x
    x = 16,570,213.53/3,990.68
  6. Step 6: Final answer
    x = 4,152.23

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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.