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Finding the Fourth Proportional to 3,892.29, 5,836.19 and 2,661.20

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Solution

The fourth proportional to 3,892.29, 5,836.19 and 2,661.20 is: 3,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.29 : 5,836.19 = 2,661.20 : x
  2. Step 2: Convert to fraction form
    3,892.29/5,836.19 = 2,661.20/x
  3. Step 3: Cross multiply
    3,892.29x = 5,836.19 × 2,661.20
  4. Step 4: Simplify right side
    3,892.29x = 15,531,239.65
  5. Step 5: Solve for x
    x = 15,531,239.65/3,892.29
  6. Step 6: Final answer
    x = 3,990.26

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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.