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Finding the Fourth Proportional to 5,381.94, 8,063.19 and 2,786.70

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Solution

The fourth proportional to 5,381.94, 8,063.19 and 2,786.70 is: 4,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.94 : 8,063.19 = 2,786.70 : x
  2. Step 2: Convert to fraction form
    5,381.94/8,063.19 = 2,786.70/x
  3. Step 3: Cross multiply
    5,381.94x = 8,063.19 × 2,786.70
  4. Step 4: Simplify right side
    5,381.94x = 22,469,691.57
  5. Step 5: Solve for x
    x = 22,469,691.57/5,381.94
  6. Step 6: Final answer
    x = 4,175.02

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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.