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Finding the Fourth Proportional to 3,982.62, 5,970.59 and 1,761.09

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Solution

The fourth proportional to 3,982.62, 5,970.59 and 1,761.09 is: 2,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.62 : 5,970.59 = 1,761.09 : x
  2. Step 2: Convert to fraction form
    3,982.62/5,970.59 = 1,761.09/x
  3. Step 3: Cross multiply
    3,982.62x = 5,970.59 × 1,761.09
  4. Step 4: Simplify right side
    3,982.62x = 10,514,737.54
  5. Step 5: Solve for x
    x = 10,514,737.54/3,982.62
  6. Step 6: Final answer
    x = 2,640.16

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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.