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Finding the Fourth Proportional to 3,912.87, 5,869.58 and 1,447.64

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Solution

The fourth proportional to 3,912.87, 5,869.58 and 1,447.64 is: 2,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.87 : 5,869.58 = 1,447.64 : x
  2. Step 2: Convert to fraction form
    3,912.87/5,869.58 = 1,447.64/x
  3. Step 3: Cross multiply
    3,912.87x = 5,869.58 × 1,447.64
  4. Step 4: Simplify right side
    3,912.87x = 8,497,002.21
  5. Step 5: Solve for x
    x = 8,497,002.21/3,912.87
  6. Step 6: Final answer
    x = 2,171.55

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1.5x scale

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.