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Finding the Fourth Proportional to 3,912.50, 5,399.49 and 2,256.50

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Solution

The fourth proportional to 3,912.50, 5,399.49 and 2,256.50 is: 3,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.50 : 5,399.49 = 2,256.50 : x
  2. Step 2: Convert to fraction form
    3,912.50/5,399.49 = 2,256.50/x
  3. Step 3: Cross multiply
    3,912.50x = 5,399.49 × 2,256.50
  4. Step 4: Simplify right side
    3,912.50x = 12,183,949.19
  5. Step 5: Solve for x
    x = 12,183,949.19/3,912.50
  6. Step 6: Final answer
    x = 3,114.11

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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.