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Finding the Fourth Proportional to 2,754.30, 3,796.56 and 2,163.82

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Solution

The fourth proportional to 2,754.30, 3,796.56 and 2,163.82 is: 2,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.30 : 3,796.56 = 2,163.82 : x
  2. Step 2: Convert to fraction form
    2,754.30/3,796.56 = 2,163.82/x
  3. Step 3: Cross multiply
    2,754.30x = 3,796.56 × 2,163.82
  4. Step 4: Simplify right side
    2,754.30x = 8,215,072.46
  5. Step 5: Solve for x
    x = 8,215,072.46/2,754.30
  6. Step 6: Final answer
    x = 2,982.64

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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.