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Finding the Fourth Proportional to 9.82, 14.78 and 6.83

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Solution

The fourth proportional to 9.82, 14.78 and 6.83 is: 10.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.82 : 14.78 = 6.83 : x
  2. Step 2: Convert to fraction form
    9.82/14.78 = 6.83/x
  3. Step 3: Cross multiply
    9.82x = 14.78 × 6.83
  4. Step 4: Simplify right side
    9.82x = 100.91
  5. Step 5: Solve for x
    x = 100.91/9.82
  6. Step 6: Final answer
    x = 10.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.