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Finding the Fourth Proportional to 3,452.31, 5,178.47 and 855.25

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Solution

The fourth proportional to 3,452.31, 5,178.47 and 855.25 is: 1,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.31 : 5,178.47 = 855.25 : x
  2. Step 2: Convert to fraction form
    3,452.31/5,178.47 = 855.25/x
  3. Step 3: Cross multiply
    3,452.31x = 5,178.47 × 855.25
  4. Step 4: Simplify right side
    3,452.31x = 4,428,886.47
  5. Step 5: Solve for x
    x = 4,428,886.47/3,452.31
  6. Step 6: Final answer
    x = 1,282.88

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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.