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Finding the Fourth Proportional to 12.38, 17.20 and 12.34

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Solution

The fourth proportional to 12.38, 17.20 and 12.34 is: 17.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.38 : 17.20 = 12.34 : x
  2. Step 2: Convert to fraction form
    12.38/17.20 = 12.34/x
  3. Step 3: Cross multiply
    12.38x = 17.20 × 12.34
  4. Step 4: Simplify right side
    12.38x = 212.25
  5. Step 5: Solve for x
    x = 212.25/12.38
  6. Step 6: Final answer
    x = 17.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.