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Finding the Fourth Proportional to 2,202.52, 3,301.25 and 902.38

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Solution

The fourth proportional to 2,202.52, 3,301.25 and 902.38 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.52 : 3,301.25 = 902.38 : x
  2. Step 2: Convert to fraction form
    2,202.52/3,301.25 = 902.38/x
  3. Step 3: Cross multiply
    2,202.52x = 3,301.25 × 902.38
  4. Step 4: Simplify right side
    2,202.52x = 2,978,967.72
  5. Step 5: Solve for x
    x = 2,978,967.72/2,202.52
  6. Step 6: Final answer
    x = 1,352.53

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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.