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Finding the Fourth Proportional to 6.67, 9.92 and 6.19

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Solution

The fourth proportional to 6.67, 9.92 and 6.19 is: 9.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.67 : 9.92 = 6.19 : x
  2. Step 2: Convert to fraction form
    6.67/9.92 = 6.19/x
  3. Step 3: Cross multiply
    6.67x = 9.92 × 6.19
  4. Step 4: Simplify right side
    6.67x = 61.40
  5. Step 5: Solve for x
    x = 61.40/6.67
  6. Step 6: Final answer
    x = 9.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.