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Finding the Fourth Proportional to 26,919, 40,378.86 and 8,451

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Solution

The fourth proportional to 26,919, 40,378.86 and 8,451 is: 12,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,919 : 40,378.86 = 8,451 : x
  2. Step 2: Convert to fraction form
    26,919/40,378.86 = 8,451/x
  3. Step 3: Cross multiply
    26,919x = 40,378.86 × 8,451
  4. Step 4: Simplify right side
    26,919x = 341,241,745.86
  5. Step 5: Solve for x
    x = 341,241,745.86/26,919
  6. Step 6: Final answer
    x = 12,676.61

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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.