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Finding the Fourth Proportional to 1,797.28, 2,694 and 1,282.72

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Solution

The fourth proportional to 1,797.28, 2,694 and 1,282.72 is: 1,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.28 : 2,694 = 1,282.72 : x
  2. Step 2: Convert to fraction form
    1,797.28/2,694 = 1,282.72/x
  3. Step 3: Cross multiply
    1,797.28x = 2,694 × 1,282.72
  4. Step 4: Simplify right side
    1,797.28x = 3,455,647.68
  5. Step 5: Solve for x
    x = 3,455,647.68/1,797.28
  6. Step 6: Final answer
    x = 1,922.71

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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.