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Finding the Fourth Proportional to 2,735.43, 4,103.68 and 980.97

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Solution

The fourth proportional to 2,735.43, 4,103.68 and 980.97 is: 1,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.43 : 4,103.68 = 980.97 : x
  2. Step 2: Convert to fraction form
    2,735.43/4,103.68 = 980.97/x
  3. Step 3: Cross multiply
    2,735.43x = 4,103.68 × 980.97
  4. Step 4: Simplify right side
    2,735.43x = 4,025,586.97
  5. Step 5: Solve for x
    x = 4,025,586.97/2,735.43
  6. Step 6: Final answer
    x = 1,471.65

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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.