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Finding the Fourth Proportional to 5,728.80, 8,593.20 and 3,268.43

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Solution

The fourth proportional to 5,728.80, 8,593.20 and 3,268.43 is: 4,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.80 : 8,593.20 = 3,268.43 : x
  2. Step 2: Convert to fraction form
    5,728.80/8,593.20 = 3,268.43/x
  3. Step 3: Cross multiply
    5,728.80x = 8,593.20 × 3,268.43
  4. Step 4: Simplify right side
    5,728.80x = 28,086,272.68
  5. Step 5: Solve for x
    x = 28,086,272.68/5,728.80
  6. Step 6: Final answer
    x = 4,902.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.