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Finding the Fourth Proportional to 26,879.92, 40,322.16 and 7,158.48

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Solution

The fourth proportional to 26,879.92, 40,322.16 and 7,158.48 is: 10,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,879.92 : 40,322.16 = 7,158.48 : x
  2. Step 2: Convert to fraction form
    26,879.92/40,322.16 = 7,158.48/x
  3. Step 3: Cross multiply
    26,879.92x = 40,322.16 × 7,158.48
  4. Step 4: Simplify right side
    26,879.92x = 288,645,375.92
  5. Step 5: Solve for x
    x = 288,645,375.92/26,879.92
  6. Step 6: Final answer
    x = 10,738.33

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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.