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Finding the Fourth Proportional to 26,896.38, 40,346.72 and 8,178.09

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Solution

The fourth proportional to 26,896.38, 40,346.72 and 8,178.09 is: 12,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,896.38 : 40,346.72 = 8,178.09 : x
  2. Step 2: Convert to fraction form
    26,896.38/40,346.72 = 8,178.09/x
  3. Step 3: Cross multiply
    26,896.38x = 40,346.72 × 8,178.09
  4. Step 4: Simplify right side
    26,896.38x = 329,959,107.36
  5. Step 5: Solve for x
    x = 329,959,107.36/26,896.38
  6. Step 6: Final answer
    x = 12,267.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.