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Finding the Fourth Proportional to 3,882.39, 5,821.47 and 1,540.02

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Solution

The fourth proportional to 3,882.39, 5,821.47 and 1,540.02 is: 2,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.39 : 5,821.47 = 1,540.02 : x
  2. Step 2: Convert to fraction form
    3,882.39/5,821.47 = 1,540.02/x
  3. Step 3: Cross multiply
    3,882.39x = 5,821.47 × 1,540.02
  4. Step 4: Simplify right side
    3,882.39x = 8,965,180.23
  5. Step 5: Solve for x
    x = 8,965,180.23/3,882.39
  6. Step 6: Final answer
    x = 2,309.19

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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.