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Finding the Fourth Proportional to 5,921.71, 8,171.97 and 3,269.12

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Solution

The fourth proportional to 5,921.71, 8,171.97 and 3,269.12 is: 4,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.71 : 8,171.97 = 3,269.12 : x
  2. Step 2: Convert to fraction form
    5,921.71/8,171.97 = 3,269.12/x
  3. Step 3: Cross multiply
    5,921.71x = 8,171.97 × 3,269.12
  4. Step 4: Simplify right side
    5,921.71x = 26,715,093.36
  5. Step 5: Solve for x
    x = 26,715,093.36/5,921.71
  6. Step 6: Final answer
    x = 4,511.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.