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Finding the Fourth Proportional to 3,982.93, 5,977.49 and 2,758.92

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Solution

The fourth proportional to 3,982.93, 5,977.49 and 2,758.92 is: 4,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.93 : 5,977.49 = 2,758.92 : x
  2. Step 2: Convert to fraction form
    3,982.93/5,977.49 = 2,758.92/x
  3. Step 3: Cross multiply
    3,982.93x = 5,977.49 × 2,758.92
  4. Step 4: Simplify right side
    3,982.93x = 16,491,416.71
  5. Step 5: Solve for x
    x = 16,491,416.71/3,982.93
  6. Step 6: Final answer
    x = 4,140.52

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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.