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Finding the Fourth Proportional to 5,786.32, 8,679.89 and 2,863.84

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Solution

The fourth proportional to 5,786.32, 8,679.89 and 2,863.84 is: 4,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.32 : 8,679.89 = 2,863.84 : x
  2. Step 2: Convert to fraction form
    5,786.32/8,679.89 = 2,863.84/x
  3. Step 3: Cross multiply
    5,786.32x = 8,679.89 × 2,863.84
  4. Step 4: Simplify right side
    5,786.32x = 24,857,816.18
  5. Step 5: Solve for x
    x = 24,857,816.18/5,786.32
  6. Step 6: Final answer
    x = 4,295.96

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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.