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Finding the Fourth Proportional to 2,171.31, 3,257.09 and 611.43

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Solution

The fourth proportional to 2,171.31, 3,257.09 and 611.43 is: 917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.31 : 3,257.09 = 611.43 : x
  2. Step 2: Convert to fraction form
    2,171.31/3,257.09 = 611.43/x
  3. Step 3: Cross multiply
    2,171.31x = 3,257.09 × 611.43
  4. Step 4: Simplify right side
    2,171.31x = 1,991,482.54
  5. Step 5: Solve for x
    x = 1,991,482.54/2,171.31
  6. Step 6: Final answer
    x = 917.18

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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.