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Finding the Fourth Proportional to 2,811.73, 4,217.36 and 863.75

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Solution

The fourth proportional to 2,811.73, 4,217.36 and 863.75 is: 1,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.73 : 4,217.36 = 863.75 : x
  2. Step 2: Convert to fraction form
    2,811.73/4,217.36 = 863.75/x
  3. Step 3: Cross multiply
    2,811.73x = 4,217.36 × 863.75
  4. Step 4: Simplify right side
    2,811.73x = 3,642,744.70
  5. Step 5: Solve for x
    x = 3,642,744.70/2,811.73
  6. Step 6: Final answer
    x = 1,295.55

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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.