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Finding the Fourth Proportional to 8.40, 12.66 and 6.73

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Solution

The fourth proportional to 8.40, 12.66 and 6.73 is: 10.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.40 : 12.66 = 6.73 : x
  2. Step 2: Convert to fraction form
    8.40/12.66 = 6.73/x
  3. Step 3: Cross multiply
    8.40x = 12.66 × 6.73
  4. Step 4: Simplify right side
    8.40x = 85.22
  5. Step 5: Solve for x
    x = 85.22/8.40
  6. Step 6: Final answer
    x = 10.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.