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Finding the Fourth Proportional to 12.30, 16.96 and 8.65

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Solution

The fourth proportional to 12.30, 16.96 and 8.65 is: 11.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.30 : 16.96 = 8.65 : x
  2. Step 2: Convert to fraction form
    12.30/16.96 = 8.65/x
  3. Step 3: Cross multiply
    12.30x = 16.96 × 8.65
  4. Step 4: Simplify right side
    12.30x = 146.70
  5. Step 5: Solve for x
    x = 146.70/12.30
  6. Step 6: Final answer
    x = 11.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.