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Finding the Fourth Proportional to 9.17, 13.68 and 7.82

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Solution

The fourth proportional to 9.17, 13.68 and 7.82 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.17 : 13.68 = 7.82 : x
  2. Step 2: Convert to fraction form
    9.17/13.68 = 7.82/x
  3. Step 3: Cross multiply
    9.17x = 13.68 × 7.82
  4. Step 4: Simplify right side
    9.17x = 106.87
  5. Step 5: Solve for x
    x = 106.87/9.17
  6. Step 6: Final answer
    x = 11.66

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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.