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Finding the Fourth Proportional to 8,419.87, 12,627.07 and 3,976.85

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Solution

The fourth proportional to 8,419.87, 12,627.07 and 3,976.85 is: 5,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.87 : 12,627.07 = 3,976.85 : x
  2. Step 2: Convert to fraction form
    8,419.87/12,627.07 = 3,976.85/x
  3. Step 3: Cross multiply
    8,419.87x = 12,627.07 × 3,976.85
  4. Step 4: Simplify right side
    8,419.87x = 50,215,890.25
  5. Step 5: Solve for x
    x = 50,215,890.25/8,419.87
  6. Step 6: Final answer
    x = 5,963.98

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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.