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Finding the Fourth Proportional to 9.74, 13.44 and 5.42

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Solution

The fourth proportional to 9.74, 13.44 and 5.42 is: 7.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.74 : 13.44 = 5.42 : x
  2. Step 2: Convert to fraction form
    9.74/13.44 = 5.42/x
  3. Step 3: Cross multiply
    9.74x = 13.44 × 5.42
  4. Step 4: Simplify right side
    9.74x = 72.85
  5. Step 5: Solve for x
    x = 72.85/9.74
  6. Step 6: Final answer
    x = 7.48

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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.