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Finding the Fourth Proportional to 8.37, 12.42 and 8.34

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Solution

The fourth proportional to 8.37, 12.42 and 8.34 is: 12.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.37 : 12.42 = 8.34 : x
  2. Step 2: Convert to fraction form
    8.37/12.42 = 8.34/x
  3. Step 3: Cross multiply
    8.37x = 12.42 × 8.34
  4. Step 4: Simplify right side
    8.37x = 103.58
  5. Step 5: Solve for x
    x = 103.58/8.37
  6. Step 6: Final answer
    x = 12.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.