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Finding the Fourth Proportional to 3,821.78, 5,732.68 and 3,077.91

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Solution

The fourth proportional to 3,821.78, 5,732.68 and 3,077.91 is: 4,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.78 : 5,732.68 = 3,077.91 : x
  2. Step 2: Convert to fraction form
    3,821.78/5,732.68 = 3,077.91/x
  3. Step 3: Cross multiply
    3,821.78x = 5,732.68 × 3,077.91
  4. Step 4: Simplify right side
    3,821.78x = 17,644,650.72
  5. Step 5: Solve for x
    x = 17,644,650.72/3,821.78
  6. Step 6: Final answer
    x = 4,616.86

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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.