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Finding the Fourth Proportional to 2,811.20, 4,216.77 and 863.15

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Solution

The fourth proportional to 2,811.20, 4,216.77 and 863.15 is: 1,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.20 : 4,216.77 = 863.15 : x
  2. Step 2: Convert to fraction form
    2,811.20/4,216.77 = 863.15/x
  3. Step 3: Cross multiply
    2,811.20x = 4,216.77 × 863.15
  4. Step 4: Simplify right side
    2,811.20x = 3,639,683.94
  5. Step 5: Solve for x
    x = 3,639,683.94/2,811.20
  6. Step 6: Final answer
    x = 1,294.71

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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.