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Finding the Fourth Proportional to 26,939.68, 40,415.87 and 8,471.68

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Solution

The fourth proportional to 26,939.68, 40,415.87 and 8,471.68 is: 12,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,939.68 : 40,415.87 = 8,471.68 : x
  2. Step 2: Convert to fraction form
    26,939.68/40,415.87 = 8,471.68/x
  3. Step 3: Cross multiply
    26,939.68x = 40,415.87 × 8,471.68
  4. Step 4: Simplify right side
    26,939.68x = 342,390,317.56
  5. Step 5: Solve for x
    x = 342,390,317.56/26,939.68
  6. Step 6: Final answer
    x = 12,709.52

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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.