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Finding the Fourth Proportional to 11.27, 16.91 and 6.70

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Solution

The fourth proportional to 11.27, 16.91 and 6.70 is: 10.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.27 : 16.91 = 6.70 : x
  2. Step 2: Convert to fraction form
    11.27/16.91 = 6.70/x
  3. Step 3: Cross multiply
    11.27x = 16.91 × 6.70
  4. Step 4: Simplify right side
    11.27x = 113.30
  5. Step 5: Solve for x
    x = 113.30/11.27
  6. Step 6: Final answer
    x = 10.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.