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Finding the Fourth Proportional to 9.18, 13.85 and 8

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Solution

The fourth proportional to 9.18, 13.85 and 8 is: 12.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.18 : 13.85 = 8 : x
  2. Step 2: Convert to fraction form
    9.18/13.85 = 8/x
  3. Step 3: Cross multiply
    9.18x = 13.85 × 8
  4. Step 4: Simplify right side
    9.18x = 110.76
  5. Step 5: Solve for x
    x = 110.76/9.18
  6. Step 6: Final answer
    x = 12.07

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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.