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Finding the Fourth Proportional to 2,450.97, 3,672.80 and 2,097.48

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Solution

The fourth proportional to 2,450.97, 3,672.80 and 2,097.48 is: 3,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.97 : 3,672.80 = 2,097.48 : x
  2. Step 2: Convert to fraction form
    2,450.97/3,672.80 = 2,097.48/x
  3. Step 3: Cross multiply
    2,450.97x = 3,672.80 × 2,097.48
  4. Step 4: Simplify right side
    2,450.97x = 7,703,624.54
  5. Step 5: Solve for x
    x = 7,703,624.54/2,450.97
  6. Step 6: Final answer
    x = 3,143.09

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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.