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Finding the Fourth Proportional to 3,241.68, 4,473.93 and 1,982.49

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Solution

The fourth proportional to 3,241.68, 4,473.93 and 1,982.49 is: 2,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.68 : 4,473.93 = 1,982.49 : x
  2. Step 2: Convert to fraction form
    3,241.68/4,473.93 = 1,982.49/x
  3. Step 3: Cross multiply
    3,241.68x = 4,473.93 × 1,982.49
  4. Step 4: Simplify right side
    3,241.68x = 8,869,521.49
  5. Step 5: Solve for x
    x = 8,869,521.49/3,241.68
  6. Step 6: Final answer
    x = 2,736.09

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Why These Related Problems?

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