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Finding the Fourth Proportional to 12.06, 18 and 11.76

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Solution

The fourth proportional to 12.06, 18 and 11.76 is: 17.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.06 : 18 = 11.76 : x
  2. Step 2: Convert to fraction form
    12.06/18 = 11.76/x
  3. Step 3: Cross multiply
    12.06x = 18 × 11.76
  4. Step 4: Simplify right side
    12.06x = 211.68
  5. Step 5: Solve for x
    x = 211.68/12.06
  6. Step 6: Final answer
    x = 17.55

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1.5x scale

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.