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Finding the Fourth Proportional to 7.98, 10.96 and 7.07

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Solution

The fourth proportional to 7.98, 10.96 and 7.07 is: 9.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.98 : 10.96 = 7.07 : x
  2. Step 2: Convert to fraction form
    7.98/10.96 = 7.07/x
  3. Step 3: Cross multiply
    7.98x = 10.96 × 7.07
  4. Step 4: Simplify right side
    7.98x = 77.47
  5. Step 5: Solve for x
    x = 77.47/7.98
  6. Step 6: Final answer
    x = 9.71

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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.