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Finding the Fourth Proportional to 3,472.14, 4,791.84 and 1,980.12

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Solution

The fourth proportional to 3,472.14, 4,791.84 and 1,980.12 is: 2,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.14 : 4,791.84 = 1,980.12 : x
  2. Step 2: Convert to fraction form
    3,472.14/4,791.84 = 1,980.12/x
  3. Step 3: Cross multiply
    3,472.14x = 4,791.84 × 1,980.12
  4. Step 4: Simplify right side
    3,472.14x = 9,488,418.22
  5. Step 5: Solve for x
    x = 9,488,418.22/3,472.14
  6. Step 6: Final answer
    x = 2,732.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.