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Finding the Fourth Proportional to 12.96, 19.42 and 7.25

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Solution

The fourth proportional to 12.96, 19.42 and 7.25 is: 10.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 19.42 = 7.25 : x
  2. Step 2: Convert to fraction form
    12.96/19.42 = 7.25/x
  3. Step 3: Cross multiply
    12.96x = 19.42 × 7.25
  4. Step 4: Simplify right side
    12.96x = 140.68
  5. Step 5: Solve for x
    x = 140.68/12.96
  6. Step 6: Final answer
    x = 10.85

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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.