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Finding the Fourth Proportional to 3,281.13, 4,923.83 and 1,963.89

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Solution

The fourth proportional to 3,281.13, 4,923.83 and 1,963.89 is: 2,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.13 : 4,923.83 = 1,963.89 : x
  2. Step 2: Convert to fraction form
    3,281.13/4,923.83 = 1,963.89/x
  3. Step 3: Cross multiply
    3,281.13x = 4,923.83 × 1,963.89
  4. Step 4: Simplify right side
    3,281.13x = 9,669,850.68
  5. Step 5: Solve for x
    x = 9,669,850.68/3,281.13
  6. Step 6: Final answer
    x = 2,947.11

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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.