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Finding the Fourth Proportional to 17.86, 26.77 and 7.71

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Solution

The fourth proportional to 17.86, 26.77 and 7.71 is: 11.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.86 : 26.77 = 7.71 : x
  2. Step 2: Convert to fraction form
    17.86/26.77 = 7.71/x
  3. Step 3: Cross multiply
    17.86x = 26.77 × 7.71
  4. Step 4: Simplify right side
    17.86x = 206.40
  5. Step 5: Solve for x
    x = 206.40/17.86
  6. Step 6: Final answer
    x = 11.56

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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.