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Finding the Fourth Proportional to 2,134.50, 3,202.16 and 980.25

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Solution

The fourth proportional to 2,134.50, 3,202.16 and 980.25 is: 1,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.50 : 3,202.16 = 980.25 : x
  2. Step 2: Convert to fraction form
    2,134.50/3,202.16 = 980.25/x
  3. Step 3: Cross multiply
    2,134.50x = 3,202.16 × 980.25
  4. Step 4: Simplify right side
    2,134.50x = 3,138,912.44
  5. Step 5: Solve for x
    x = 3,138,912.44/2,134.50
  6. Step 6: Final answer
    x = 1,470.56

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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.