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Finding the Fourth Proportional to 3,460.80, 5,191.32 and 863.88

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Solution

The fourth proportional to 3,460.80, 5,191.32 and 863.88 is: 1,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.80 : 5,191.32 = 863.88 : x
  2. Step 2: Convert to fraction form
    3,460.80/5,191.32 = 863.88/x
  3. Step 3: Cross multiply
    3,460.80x = 5,191.32 × 863.88
  4. Step 4: Simplify right side
    3,460.80x = 4,484,677.52
  5. Step 5: Solve for x
    x = 4,484,677.52/3,460.80
  6. Step 6: Final answer
    x = 1,295.85

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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.