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Finding the Fourth Proportional to 2,179.08, 3,268.22 and 863.42

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Solution

The fourth proportional to 2,179.08, 3,268.22 and 863.42 is: 1,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.08 : 3,268.22 = 863.42 : x
  2. Step 2: Convert to fraction form
    2,179.08/3,268.22 = 863.42/x
  3. Step 3: Cross multiply
    2,179.08x = 3,268.22 × 863.42
  4. Step 4: Simplify right side
    2,179.08x = 2,821,825.85
  5. Step 5: Solve for x
    x = 2,821,825.85/2,179.08
  6. Step 6: Final answer
    x = 1,294.96

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1.5x scale

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.