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Finding the Fourth Proportional to 11.86, 17.75 and 9.34

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Solution

The fourth proportional to 11.86, 17.75 and 9.34 is: 13.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.86 : 17.75 = 9.34 : x
  2. Step 2: Convert to fraction form
    11.86/17.75 = 9.34/x
  3. Step 3: Cross multiply
    11.86x = 17.75 × 9.34
  4. Step 4: Simplify right side
    11.86x = 165.70
  5. Step 5: Solve for x
    x = 165.70/11.86
  6. Step 6: Final answer
    x = 13.98

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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.