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Finding the Fourth Proportional to 7.91, 10.90 and 7.49

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Solution

The fourth proportional to 7.91, 10.90 and 7.49 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.91 : 10.90 = 7.49 : x
  2. Step 2: Convert to fraction form
    7.91/10.90 = 7.49/x
  3. Step 3: Cross multiply
    7.91x = 10.90 × 7.49
  4. Step 4: Simplify right side
    7.91x = 81.57
  5. Step 5: Solve for x
    x = 81.57/7.91
  6. Step 6: Final answer
    x = 10.31

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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.