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Finding the Fourth Proportional to 26,311, 39,473.34 and 7,843

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Solution

The fourth proportional to 26,311, 39,473.34 and 7,843 is: 11,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311 : 39,473.34 = 7,843 : x
  2. Step 2: Convert to fraction form
    26,311/39,473.34 = 7,843/x
  3. Step 3: Cross multiply
    26,311x = 39,473.34 × 7,843
  4. Step 4: Simplify right side
    26,311x = 309,589,405.62
  5. Step 5: Solve for x
    x = 309,589,405.62/26,311
  6. Step 6: Final answer
    x = 11,766.54

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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.