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Finding the Fourth Proportional to 3,910.91, 5,867.19 and 1,445.75

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Solution

The fourth proportional to 3,910.91, 5,867.19 and 1,445.75 is: 2,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.91 : 5,867.19 = 1,445.75 : x
  2. Step 2: Convert to fraction form
    3,910.91/5,867.19 = 1,445.75/x
  3. Step 3: Cross multiply
    3,910.91x = 5,867.19 × 1,445.75
  4. Step 4: Simplify right side
    3,910.91x = 8,482,489.94
  5. Step 5: Solve for x
    x = 8,482,489.94/3,910.91
  6. Step 6: Final answer
    x = 2,168.93

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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.