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Finding the Fourth Proportional to 8,178.86, 12,269.44 and 3,249

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Solution

The fourth proportional to 8,178.86, 12,269.44 and 3,249 is: 4,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.86 : 12,269.44 = 3,249 : x
  2. Step 2: Convert to fraction form
    8,178.86/12,269.44 = 3,249/x
  3. Step 3: Cross multiply
    8,178.86x = 12,269.44 × 3,249
  4. Step 4: Simplify right side
    8,178.86x = 39,863,410.56
  5. Step 5: Solve for x
    x = 39,863,410.56/8,178.86
  6. Step 6: Final answer
    x = 4,873.96

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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.