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Finding the Fourth Proportional to 10.02, 13.81 and 6.38

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Solution

The fourth proportional to 10.02, 13.81 and 6.38 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.02 : 13.81 = 6.38 : x
  2. Step 2: Convert to fraction form
    10.02/13.81 = 6.38/x
  3. Step 3: Cross multiply
    10.02x = 13.81 × 6.38
  4. Step 4: Simplify right side
    10.02x = 88.01
  5. Step 5: Solve for x
    x = 88.01/10.02
  6. Step 6: Final answer
    x = 8.78

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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.