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Finding the Fourth Proportional to 9,319.97, 13,978.43 and 2,744.62

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Solution

The fourth proportional to 9,319.97, 13,978.43 and 2,744.62 is: 4,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.97 : 13,978.43 = 2,744.62 : x
  2. Step 2: Convert to fraction form
    9,319.97/13,978.43 = 2,744.62/x
  3. Step 3: Cross multiply
    9,319.97x = 13,978.43 × 2,744.62
  4. Step 4: Simplify right side
    9,319.97x = 38,365,478.55
  5. Step 5: Solve for x
    x = 38,365,478.55/9,319.97
  6. Step 6: Final answer
    x = 4,116.48

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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.