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Finding the Fourth Proportional to 9.86, 14.72 and 8.05

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Solution

The fourth proportional to 9.86, 14.72 and 8.05 is: 12.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.86 : 14.72 = 8.05 : x
  2. Step 2: Convert to fraction form
    9.86/14.72 = 8.05/x
  3. Step 3: Cross multiply
    9.86x = 14.72 × 8.05
  4. Step 4: Simplify right side
    9.86x = 118.42
  5. Step 5: Solve for x
    x = 118.42/9.86
  6. Step 6: Final answer
    x = 12.02

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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.