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Finding the Fourth Proportional to 2,751.62, 3,797.40 and 2,161.14

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Solution

The fourth proportional to 2,751.62, 3,797.40 and 2,161.14 is: 2,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.62 : 3,797.40 = 2,161.14 : x
  2. Step 2: Convert to fraction form
    2,751.62/3,797.40 = 2,161.14/x
  3. Step 3: Cross multiply
    2,751.62x = 3,797.40 × 2,161.14
  4. Step 4: Simplify right side
    2,751.62x = 8,206,713.04
  5. Step 5: Solve for x
    x = 8,206,713.04/2,751.62
  6. Step 6: Final answer
    x = 2,982.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.