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Finding the Fourth Proportional to 3,982.82, 5,496.31 and 2,214.42

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Solution

The fourth proportional to 3,982.82, 5,496.31 and 2,214.42 is: 3,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.82 : 5,496.31 = 2,214.42 : x
  2. Step 2: Convert to fraction form
    3,982.82/5,496.31 = 2,214.42/x
  3. Step 3: Cross multiply
    3,982.82x = 5,496.31 × 2,214.42
  4. Step 4: Simplify right side
    3,982.82x = 12,171,139.41
  5. Step 5: Solve for x
    x = 12,171,139.41/3,982.82
  6. Step 6: Final answer
    x = 3,055.91

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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.