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Finding the Fourth Proportional to 3,368.49, 5,052.90 and 1,982.49

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Solution

The fourth proportional to 3,368.49, 5,052.90 and 1,982.49 is: 2,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.49 : 5,052.90 = 1,982.49 : x
  2. Step 2: Convert to fraction form
    3,368.49/5,052.90 = 1,982.49/x
  3. Step 3: Cross multiply
    3,368.49x = 5,052.90 × 1,982.49
  4. Step 4: Simplify right side
    3,368.49x = 10,017,323.72
  5. Step 5: Solve for x
    x = 10,017,323.72/3,368.49
  6. Step 6: Final answer
    x = 2,973.83

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Why These Related Problems?

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