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Finding the Fourth Proportional to 3,197.76, 4,805.64 and 1,659.84

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Solution

The fourth proportional to 3,197.76, 4,805.64 and 1,659.84 is: 2,494.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.76 : 4,805.64 = 1,659.84 : x
  2. Step 2: Convert to fraction form
    3,197.76/4,805.64 = 1,659.84/x
  3. Step 3: Cross multiply
    3,197.76x = 4,805.64 × 1,659.84
  4. Step 4: Simplify right side
    3,197.76x = 7,976,593.50
  5. Step 5: Solve for x
    x = 7,976,593.50/3,197.76
  6. Step 6: Final answer
    x = 2,494.43

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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.