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Finding the Fourth Proportional to 6,196.28, 8,550.78 and 3,839

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Solution

The fourth proportional to 6,196.28, 8,550.78 and 3,839 is: 5,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.28 : 8,550.78 = 3,839 : x
  2. Step 2: Convert to fraction form
    6,196.28/8,550.78 = 3,839/x
  3. Step 3: Cross multiply
    6,196.28x = 8,550.78 × 3,839
  4. Step 4: Simplify right side
    6,196.28x = 32,826,444.42
  5. Step 5: Solve for x
    x = 32,826,444.42/6,196.28
  6. Step 6: Final answer
    x = 5,297.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.