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Finding the Fourth Proportional to 6,659.67, 9,981.81 and 2,759.25

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Solution

The fourth proportional to 6,659.67, 9,981.81 and 2,759.25 is: 4,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.67 : 9,981.81 = 2,759.25 : x
  2. Step 2: Convert to fraction form
    6,659.67/9,981.81 = 2,759.25/x
  3. Step 3: Cross multiply
    6,659.67x = 9,981.81 × 2,759.25
  4. Step 4: Simplify right side
    6,659.67x = 27,542,309.24
  5. Step 5: Solve for x
    x = 27,542,309.24/6,659.67
  6. Step 6: Final answer
    x = 4,135.69

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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.