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Finding the Fourth Proportional to 3,982.74, 5,982.75 and 3,367.68

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Solution

The fourth proportional to 3,982.74, 5,982.75 and 3,367.68 is: 5,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.74 : 5,982.75 = 3,367.68 : x
  2. Step 2: Convert to fraction form
    3,982.74/5,982.75 = 3,367.68/x
  3. Step 3: Cross multiply
    3,982.74x = 5,982.75 × 3,367.68
  4. Step 4: Simplify right side
    3,982.74x = 20,147,987.52
  5. Step 5: Solve for x
    x = 20,147,987.52/3,982.74
  6. Step 6: Final answer
    x = 5,058.83

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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.