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Finding the Fourth Proportional to 3,982.74, 5,974.11 and 1,385.67

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Solution

The fourth proportional to 3,982.74, 5,974.11 and 1,385.67 is: 2,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.74 : 5,974.11 = 1,385.67 : x
  2. Step 2: Convert to fraction form
    3,982.74/5,974.11 = 1,385.67/x
  3. Step 3: Cross multiply
    3,982.74x = 5,974.11 × 1,385.67
  4. Step 4: Simplify right side
    3,982.74x = 8,278,145.00
  5. Step 5: Solve for x
    x = 8,278,145.00/3,982.74
  6. Step 6: Final answer
    x = 2,078.51

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Similar ratio
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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.