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Finding the Fourth Proportional to 6.95, 9.66 and 6.78

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Solution

The fourth proportional to 6.95, 9.66 and 6.78 is: 9.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.95 : 9.66 = 6.78 : x
  2. Step 2: Convert to fraction form
    6.95/9.66 = 6.78/x
  3. Step 3: Cross multiply
    6.95x = 9.66 × 6.78
  4. Step 4: Simplify right side
    6.95x = 65.49
  5. Step 5: Solve for x
    x = 65.49/6.95
  6. Step 6: Final answer
    x = 9.43

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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.