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Finding the Fourth Proportional to 2,182.13, 3,273.82 and 643.13

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Solution

The fourth proportional to 2,182.13, 3,273.82 and 643.13 is: 964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.13 : 3,273.82 = 643.13 : x
  2. Step 2: Convert to fraction form
    2,182.13/3,273.82 = 643.13/x
  3. Step 3: Cross multiply
    2,182.13x = 3,273.82 × 643.13
  4. Step 4: Simplify right side
    2,182.13x = 2,105,473.88
  5. Step 5: Solve for x
    x = 2,105,473.88/2,182.13
  6. Step 6: Final answer
    x = 964.87

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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.