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Finding the Fourth Proportional to 3,913.50, 5,401.11 and 2,257.50

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Solution

The fourth proportional to 3,913.50, 5,401.11 and 2,257.50 is: 3,115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.50 : 5,401.11 = 2,257.50 : x
  2. Step 2: Convert to fraction form
    3,913.50/5,401.11 = 2,257.50/x
  3. Step 3: Cross multiply
    3,913.50x = 5,401.11 × 2,257.50
  4. Step 4: Simplify right side
    3,913.50x = 12,193,005.83
  5. Step 5: Solve for x
    x = 12,193,005.83/3,913.50
  6. Step 6: Final answer
    x = 3,115.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.