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Finding the Fourth Proportional to 9,319.68, 13,976 and 2,744

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Solution

The fourth proportional to 9,319.68, 13,976 and 2,744 is: 4,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.68 : 13,976 = 2,744 : x
  2. Step 2: Convert to fraction form
    9,319.68/13,976 = 2,744/x
  3. Step 3: Cross multiply
    9,319.68x = 13,976 × 2,744
  4. Step 4: Simplify right side
    9,319.68x = 38,350,144
  5. Step 5: Solve for x
    x = 38,350,144/9,319.68
  6. Step 6: Final answer
    x = 4,114.96

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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.