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Finding the Fourth Proportional to 3,982.80, 5,494.03 and 2,389.03

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Solution

The fourth proportional to 3,982.80, 5,494.03 and 2,389.03 is: 3,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.80 : 5,494.03 = 2,389.03 : x
  2. Step 2: Convert to fraction form
    3,982.80/5,494.03 = 2,389.03/x
  3. Step 3: Cross multiply
    3,982.80x = 5,494.03 × 2,389.03
  4. Step 4: Simplify right side
    3,982.80x = 13,125,382.78
  5. Step 5: Solve for x
    x = 13,125,382.78/3,982.80
  6. Step 6: Final answer
    x = 3,295.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.