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Finding the Fourth Proportional to 14.38, 19.81 and 11.65

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Solution

The fourth proportional to 14.38, 19.81 and 11.65 is: 16.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.38 : 19.81 = 11.65 : x
  2. Step 2: Convert to fraction form
    14.38/19.81 = 11.65/x
  3. Step 3: Cross multiply
    14.38x = 19.81 × 11.65
  4. Step 4: Simplify right side
    14.38x = 230.71
  5. Step 5: Solve for x
    x = 230.71/14.38
  6. Step 6: Final answer
    x = 16.05

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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.