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Finding the Fourth Proportional to 3,910.34, 5,867.10 and 1,445.31

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Solution

The fourth proportional to 3,910.34, 5,867.10 and 1,445.31 is: 2,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.34 : 5,867.10 = 1,445.31 : x
  2. Step 2: Convert to fraction form
    3,910.34/5,867.10 = 1,445.31/x
  3. Step 3: Cross multiply
    3,910.34x = 5,867.10 × 1,445.31
  4. Step 4: Simplify right side
    3,910.34x = 8,479,778.30
  5. Step 5: Solve for x
    x = 8,479,778.30/3,910.34
  6. Step 6: Final answer
    x = 2,168.55

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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.