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Finding the Fourth Proportional to 3,980.92, 5,974.49 and 2,756.91

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Solution

The fourth proportional to 3,980.92, 5,974.49 and 2,756.91 is: 4,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.92 : 5,974.49 = 2,756.91 : x
  2. Step 2: Convert to fraction form
    3,980.92/5,974.49 = 2,756.91/x
  3. Step 3: Cross multiply
    3,980.92x = 5,974.49 × 2,756.91
  4. Step 4: Simplify right side
    3,980.92x = 16,471,131.23
  5. Step 5: Solve for x
    x = 16,471,131.23/3,980.92
  6. Step 6: Final answer
    x = 4,137.52

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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.