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Finding the Fourth Proportional to 2,643.57, 3,958.27 and 1,817.78

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Solution

The fourth proportional to 2,643.57, 3,958.27 and 1,817.78 is: 2,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.57 : 3,958.27 = 1,817.78 : x
  2. Step 2: Convert to fraction form
    2,643.57/3,958.27 = 1,817.78/x
  3. Step 3: Cross multiply
    2,643.57x = 3,958.27 × 1,817.78
  4. Step 4: Simplify right side
    2,643.57x = 7,195,239.70
  5. Step 5: Solve for x
    x = 7,195,239.70/2,643.57
  6. Step 6: Final answer
    x = 2,721.79

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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.