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Finding the Fourth Proportional to 3,930.57, 5,891.60 and 1,982.93

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Solution

The fourth proportional to 3,930.57, 5,891.60 and 1,982.93 is: 2,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.57 : 5,891.60 = 1,982.93 : x
  2. Step 2: Convert to fraction form
    3,930.57/5,891.60 = 1,982.93/x
  3. Step 3: Cross multiply
    3,930.57x = 5,891.60 × 1,982.93
  4. Step 4: Simplify right side
    3,930.57x = 11,682,605.89
  5. Step 5: Solve for x
    x = 11,682,605.89/3,930.57
  6. Step 6: Final answer
    x = 2,972.24

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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.