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Finding the Fourth Proportional to 3,212.94, 4,813.02 and 1,982.73

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Solution

The fourth proportional to 3,212.94, 4,813.02 and 1,982.73 is: 2,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.94 : 4,813.02 = 1,982.73 : x
  2. Step 2: Convert to fraction form
    3,212.94/4,813.02 = 1,982.73/x
  3. Step 3: Cross multiply
    3,212.94x = 4,813.02 × 1,982.73
  4. Step 4: Simplify right side
    3,212.94x = 9,542,919.14
  5. Step 5: Solve for x
    x = 9,542,919.14/3,212.94
  6. Step 6: Final answer
    x = 2,970.15

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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.