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Finding the Fourth Proportional to 9.91, 14.89 and 5.41

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Solution

The fourth proportional to 9.91, 14.89 and 5.41 is: 8.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.91 : 14.89 = 5.41 : x
  2. Step 2: Convert to fraction form
    9.91/14.89 = 5.41/x
  3. Step 3: Cross multiply
    9.91x = 14.89 × 5.41
  4. Step 4: Simplify right side
    9.91x = 80.55
  5. Step 5: Solve for x
    x = 80.55/9.91
  6. Step 6: Final answer
    x = 8.13

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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.