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Finding the Fourth Proportional to 3,912.68, 5,863.82 and 1,445.22

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Solution

The fourth proportional to 3,912.68, 5,863.82 and 1,445.22 is: 2,165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,863.82 = 1,445.22 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,863.82 = 1,445.22/x
  3. Step 3: Cross multiply
    3,912.68x = 5,863.82 × 1,445.22
  4. Step 4: Simplify right side
    3,912.68x = 8,474,502.71
  5. Step 5: Solve for x
    x = 8,474,502.71/3,912.68
  6. Step 6: Final answer
    x = 2,165.91

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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.