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Finding the Fourth Proportional to 8.94, 13.42 and 5.38

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Solution

The fourth proportional to 8.94, 13.42 and 5.38 is: 8.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.94 : 13.42 = 5.38 : x
  2. Step 2: Convert to fraction form
    8.94/13.42 = 5.38/x
  3. Step 3: Cross multiply
    8.94x = 13.42 × 5.38
  4. Step 4: Simplify right side
    8.94x = 72.20
  5. Step 5: Solve for x
    x = 72.20/8.94
  6. Step 6: Final answer
    x = 8.08

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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.