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Finding the Fourth Proportional to 26,826.38, 40,243.80 and 8,104.09

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Solution

The fourth proportional to 26,826.38, 40,243.80 and 8,104.09 is: 12,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826.38 : 40,243.80 = 8,104.09 : x
  2. Step 2: Convert to fraction form
    26,826.38/40,243.80 = 8,104.09/x
  3. Step 3: Cross multiply
    26,826.38x = 40,243.80 × 8,104.09
  4. Step 4: Simplify right side
    26,826.38x = 326,139,377.14
  5. Step 5: Solve for x
    x = 326,139,377.14/26,826.38
  6. Step 6: Final answer
    x = 12,157.41

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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.