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Finding the Fourth Proportional to 7.14, 9.78 and 6.88

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Solution

The fourth proportional to 7.14, 9.78 and 6.88 is: 9.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.14 : 9.78 = 6.88 : x
  2. Step 2: Convert to fraction form
    7.14/9.78 = 6.88/x
  3. Step 3: Cross multiply
    7.14x = 9.78 × 6.88
  4. Step 4: Simplify right side
    7.14x = 67.20
  5. Step 5: Solve for x
    x = 67.20/7.14
  6. Step 6: Final answer
    x = 9.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.