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Finding the Fourth Proportional to 3,992.09, 5,982.65 and 2,040.22

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Solution

The fourth proportional to 3,992.09, 5,982.65 and 2,040.22 is: 3,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.09 : 5,982.65 = 2,040.22 : x
  2. Step 2: Convert to fraction form
    3,992.09/5,982.65 = 2,040.22/x
  3. Step 3: Cross multiply
    3,992.09x = 5,982.65 × 2,040.22
  4. Step 4: Simplify right side
    3,992.09x = 12,205,882.07
  5. Step 5: Solve for x
    x = 12,205,882.07/3,992.09
  6. Step 6: Final answer
    x = 3,057.52

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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.