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Finding the Fourth Proportional to 3,999.78, 5,989.16 and 2,823.44

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Solution

The fourth proportional to 3,999.78, 5,989.16 and 2,823.44 is: 4,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.78 : 5,989.16 = 2,823.44 : x
  2. Step 2: Convert to fraction form
    3,999.78/5,989.16 = 2,823.44/x
  3. Step 3: Cross multiply
    3,999.78x = 5,989.16 × 2,823.44
  4. Step 4: Simplify right side
    3,999.78x = 16,910,033.91
  5. Step 5: Solve for x
    x = 16,910,033.91/3,999.78
  6. Step 6: Final answer
    x = 4,227.74

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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.