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Finding the Fourth Proportional to 11.86, 16.35 and 8.40

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Solution

The fourth proportional to 11.86, 16.35 and 8.40 is: 11.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.86 : 16.35 = 8.40 : x
  2. Step 2: Convert to fraction form
    11.86/16.35 = 8.40/x
  3. Step 3: Cross multiply
    11.86x = 16.35 × 8.40
  4. Step 4: Simplify right side
    11.86x = 137.37
  5. Step 5: Solve for x
    x = 137.37/11.86
  6. Step 6: Final answer
    x = 11.59

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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.