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Finding the Fourth Proportional to 2,481.40, 3,724.95 and 1,963.14

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Solution

The fourth proportional to 2,481.40, 3,724.95 and 1,963.14 is: 2,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.40 : 3,724.95 = 1,963.14 : x
  2. Step 2: Convert to fraction form
    2,481.40/3,724.95 = 1,963.14/x
  3. Step 3: Cross multiply
    2,481.40x = 3,724.95 × 1,963.14
  4. Step 4: Simplify right side
    2,481.40x = 7,312,591.74
  5. Step 5: Solve for x
    x = 7,312,591.74/2,481.40
  6. Step 6: Final answer
    x = 2,946.96

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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.