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Finding the Fourth Proportional to 5,472.97, 8,212.19 and 2,187

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Solution

The fourth proportional to 5,472.97, 8,212.19 and 2,187 is: 3,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.97 : 8,212.19 = 2,187 : x
  2. Step 2: Convert to fraction form
    5,472.97/8,212.19 = 2,187/x
  3. Step 3: Cross multiply
    5,472.97x = 8,212.19 × 2,187
  4. Step 4: Simplify right side
    5,472.97x = 17,960,048.60
  5. Step 5: Solve for x
    x = 17,960,048.60/5,472.97
  6. Step 6: Final answer
    x = 3,281.59

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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.