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Finding the Fourth Proportional to 7,855.66, 11,786.90 and 3,910.82

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Solution

The fourth proportional to 7,855.66, 11,786.90 and 3,910.82 is: 5,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.66 : 11,786.90 = 3,910.82 : x
  2. Step 2: Convert to fraction form
    7,855.66/11,786.90 = 3,910.82/x
  3. Step 3: Cross multiply
    7,855.66x = 11,786.90 × 3,910.82
  4. Step 4: Simplify right side
    7,855.66x = 46,096,454.17
  5. Step 5: Solve for x
    x = 46,096,454.17/7,855.66
  6. Step 6: Final answer
    x = 5,867.93

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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.