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Finding the Fourth Proportional to 5,169.82, 7,754.09 and 1,659.55

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Solution

The fourth proportional to 5,169.82, 7,754.09 and 1,659.55 is: 2,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.82 : 7,754.09 = 1,659.55 : x
  2. Step 2: Convert to fraction form
    5,169.82/7,754.09 = 1,659.55/x
  3. Step 3: Cross multiply
    5,169.82x = 7,754.09 × 1,659.55
  4. Step 4: Simplify right side
    5,169.82x = 12,868,291.76
  5. Step 5: Solve for x
    x = 12,868,291.76/5,169.82
  6. Step 6: Final answer
    x = 2,489.12

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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.