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Finding the Fourth Proportional to 26,257, 39,363.42 and 10,685.80

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Solution

The fourth proportional to 26,257, 39,363.42 and 10,685.80 is: 16,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257 : 39,363.42 = 10,685.80 : x
  2. Step 2: Convert to fraction form
    26,257/39,363.42 = 10,685.80/x
  3. Step 3: Cross multiply
    26,257x = 39,363.42 × 10,685.80
  4. Step 4: Simplify right side
    26,257x = 420,629,633.44
  5. Step 5: Solve for x
    x = 420,629,633.44/26,257
  6. Step 6: Final answer
    x = 16,019.71

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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.