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Finding the Fourth Proportional to 3,917.95, 5,877.12 and 1,967.87

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Solution

The fourth proportional to 3,917.95, 5,877.12 and 1,967.87 is: 2,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.95 : 5,877.12 = 1,967.87 : x
  2. Step 2: Convert to fraction form
    3,917.95/5,877.12 = 1,967.87/x
  3. Step 3: Cross multiply
    3,917.95x = 5,877.12 × 1,967.87
  4. Step 4: Simplify right side
    3,917.95x = 11,565,408.13
  5. Step 5: Solve for x
    x = 11,565,408.13/3,917.95
  6. Step 6: Final answer
    x = 2,951.90

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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.