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Finding the Fourth Proportional to 3,882.65, 5,817.89 and 1,541.39

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Solution

The fourth proportional to 3,882.65, 5,817.89 and 1,541.39 is: 2,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.65 : 5,817.89 = 1,541.39 : x
  2. Step 2: Convert to fraction form
    3,882.65/5,817.89 = 1,541.39/x
  3. Step 3: Cross multiply
    3,882.65x = 5,817.89 × 1,541.39
  4. Step 4: Simplify right side
    3,882.65x = 8,967,608.38
  5. Step 5: Solve for x
    x = 8,967,608.38/3,882.65
  6. Step 6: Final answer
    x = 2,309.66

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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.