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Finding the Fourth Proportional to 3,617.96, 5,427 and 1,020.96

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Solution

The fourth proportional to 3,617.96, 5,427 and 1,020.96 is: 1,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.96 : 5,427 = 1,020.96 : x
  2. Step 2: Convert to fraction form
    3,617.96/5,427 = 1,020.96/x
  3. Step 3: Cross multiply
    3,617.96x = 5,427 × 1,020.96
  4. Step 4: Simplify right side
    3,617.96x = 5,540,749.92
  5. Step 5: Solve for x
    x = 5,540,749.92/3,617.96
  6. Step 6: Final answer
    x = 1,531.46

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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.