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Finding the Fourth Proportional to 3,843.96, 5,744.88 and 2,806.15

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Solution

The fourth proportional to 3,843.96, 5,744.88 and 2,806.15 is: 4,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.96 : 5,744.88 = 2,806.15 : x
  2. Step 2: Convert to fraction form
    3,843.96/5,744.88 = 2,806.15/x
  3. Step 3: Cross multiply
    3,843.96x = 5,744.88 × 2,806.15
  4. Step 4: Simplify right side
    3,843.96x = 16,120,982.36
  5. Step 5: Solve for x
    x = 16,120,982.36/3,843.96
  6. Step 6: Final answer
    x = 4,193.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.