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Finding the Fourth Proportional to 3,197.97, 4,790.66 and 2,098.98

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Solution

The fourth proportional to 3,197.97, 4,790.66 and 2,098.98 is: 3,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.97 : 4,790.66 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    3,197.97/4,790.66 = 2,098.98/x
  3. Step 3: Cross multiply
    3,197.97x = 4,790.66 × 2,098.98
  4. Step 4: Simplify right side
    3,197.97x = 10,055,489.03
  5. Step 5: Solve for x
    x = 10,055,489.03/3,197.97
  6. Step 6: Final answer
    x = 3,144.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.