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Finding the Fourth Proportional to 2,182, 3,273.72 and 882.76

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Solution

The fourth proportional to 2,182, 3,273.72 and 882.76 is: 1,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182 : 3,273.72 = 882.76 : x
  2. Step 2: Convert to fraction form
    2,182/3,273.72 = 882.76/x
  3. Step 3: Cross multiply
    2,182x = 3,273.72 × 882.76
  4. Step 4: Simplify right side
    2,182x = 2,889,909.07
  5. Step 5: Solve for x
    x = 2,889,909.07/2,182
  6. Step 6: Final answer
    x = 1,324.43

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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.