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Finding the Fourth Proportional to 13.40, 20.09 and 4.38

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Solution

The fourth proportional to 13.40, 20.09 and 4.38 is: 6.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 20.09 = 4.38 : x
  2. Step 2: Convert to fraction form
    13.40/20.09 = 4.38/x
  3. Step 3: Cross multiply
    13.40x = 20.09 × 4.38
  4. Step 4: Simplify right side
    13.40x = 87.97
  5. Step 5: Solve for x
    x = 87.97/13.40
  6. Step 6: Final answer
    x = 6.57

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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.