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Finding the Fourth Proportional to 3,369.42, 5,049.36 and 1,983.06

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Solution

The fourth proportional to 3,369.42, 5,049.36 and 1,983.06 is: 2,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.42 : 5,049.36 = 1,983.06 : x
  2. Step 2: Convert to fraction form
    3,369.42/5,049.36 = 1,983.06/x
  3. Step 3: Cross multiply
    3,369.42x = 5,049.36 × 1,983.06
  4. Step 4: Simplify right side
    3,369.42x = 10,013,183.84
  5. Step 5: Solve for x
    x = 10,013,183.84/3,369.42
  6. Step 6: Final answer
    x = 2,971.78

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