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Finding the Fourth Proportional to 12.57, 17.33 and 8.25

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Solution

The fourth proportional to 12.57, 17.33 and 8.25 is: 11.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.57 : 17.33 = 8.25 : x
  2. Step 2: Convert to fraction form
    12.57/17.33 = 8.25/x
  3. Step 3: Cross multiply
    12.57x = 17.33 × 8.25
  4. Step 4: Simplify right side
    12.57x = 142.97
  5. Step 5: Solve for x
    x = 142.97/12.57
  6. Step 6: Final answer
    x = 11.37

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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.