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Finding the Fourth Proportional to 2,561, 3,843.66 and 1,022

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Solution

The fourth proportional to 2,561, 3,843.66 and 1,022 is: 1,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561 : 3,843.66 = 1,022 : x
  2. Step 2: Convert to fraction form
    2,561/3,843.66 = 1,022/x
  3. Step 3: Cross multiply
    2,561x = 3,843.66 × 1,022
  4. Step 4: Simplify right side
    2,561x = 3,928,220.52
  5. Step 5: Solve for x
    x = 3,928,220.52/2,561
  6. Step 6: Final answer
    x = 1,533.86

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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.