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Finding the Fourth Proportional to 6.86, 9.39 and 6.86

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Solution

The fourth proportional to 6.86, 9.39 and 6.86 is: 9.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 9.39 = 6.86 : x
  2. Step 2: Convert to fraction form
    6.86/9.39 = 6.86/x
  3. Step 3: Cross multiply
    6.86x = 9.39 × 6.86
  4. Step 4: Simplify right side
    6.86x = 64.42
  5. Step 5: Solve for x
    x = 64.42/6.86
  6. Step 6: Final answer
    x = 9.39

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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.