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Finding the Fourth Proportional to 2,179.67, 3,269.91 and 882.05

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Solution

The fourth proportional to 2,179.67, 3,269.91 and 882.05 is: 1,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.67 : 3,269.91 = 882.05 : x
  2. Step 2: Convert to fraction form
    2,179.67/3,269.91 = 882.05/x
  3. Step 3: Cross multiply
    2,179.67x = 3,269.91 × 882.05
  4. Step 4: Simplify right side
    2,179.67x = 2,884,203.36
  5. Step 5: Solve for x
    x = 2,884,203.36/2,179.67
  6. Step 6: Final answer
    x = 1,323.23

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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.