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Finding the Fourth Proportional to 3,838.78, 5,747.90 and 2,193.06

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Solution

The fourth proportional to 3,838.78, 5,747.90 and 2,193.06 is: 3,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.78 : 5,747.90 = 2,193.06 : x
  2. Step 2: Convert to fraction form
    3,838.78/5,747.90 = 2,193.06/x
  3. Step 3: Cross multiply
    3,838.78x = 5,747.90 × 2,193.06
  4. Step 4: Simplify right side
    3,838.78x = 12,605,489.57
  5. Step 5: Solve for x
    x = 12,605,489.57/3,838.78
  6. Step 6: Final answer
    x = 3,283.72

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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.