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Finding the Fourth Proportional to 3,382.70, 5,072.12 and 1,433.90

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Solution

The fourth proportional to 3,382.70, 5,072.12 and 1,433.90 is: 2,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.70 : 5,072.12 = 1,433.90 : x
  2. Step 2: Convert to fraction form
    3,382.70/5,072.12 = 1,433.90/x
  3. Step 3: Cross multiply
    3,382.70x = 5,072.12 × 1,433.90
  4. Step 4: Simplify right side
    3,382.70x = 7,272,912.87
  5. Step 5: Solve for x
    x = 7,272,912.87/3,382.70
  6. Step 6: Final answer
    x = 2,150.03

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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.