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Finding the Fourth Proportional to 11.62, 17.43 and 5.91

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Solution

The fourth proportional to 11.62, 17.43 and 5.91 is: 8.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.62 : 17.43 = 5.91 : x
  2. Step 2: Convert to fraction form
    11.62/17.43 = 5.91/x
  3. Step 3: Cross multiply
    11.62x = 17.43 × 5.91
  4. Step 4: Simplify right side
    11.62x = 103.02
  5. Step 5: Solve for x
    x = 103.02/11.62
  6. Step 6: Final answer
    x = 8.87

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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.