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Finding the Fourth Proportional to 3,992.70, 5,989.02 and 3,069.90

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Solution

The fourth proportional to 3,992.70, 5,989.02 and 3,069.90 is: 4,604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.70 : 5,989.02 = 3,069.90 : x
  2. Step 2: Convert to fraction form
    3,992.70/5,989.02 = 3,069.90/x
  3. Step 3: Cross multiply
    3,992.70x = 5,989.02 × 3,069.90
  4. Step 4: Simplify right side
    3,992.70x = 18,385,692.50
  5. Step 5: Solve for x
    x = 18,385,692.50/3,992.70
  6. Step 6: Final answer
    x = 4,604.83

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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.