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Finding the Fourth Proportional to 3,380.71, 4,689.25 and 3,290.80

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Solution

The fourth proportional to 3,380.71, 4,689.25 and 3,290.80 is: 4,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.71 : 4,689.25 = 3,290.80 : x
  2. Step 2: Convert to fraction form
    3,380.71/4,689.25 = 3,290.80/x
  3. Step 3: Cross multiply
    3,380.71x = 4,689.25 × 3,290.80
  4. Step 4: Simplify right side
    3,380.71x = 15,431,383.90
  5. Step 5: Solve for x
    x = 15,431,383.90/3,380.71
  6. Step 6: Final answer
    x = 4,564.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.