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Finding the Fourth Proportional to 5,410.78, 8,105.84 and 3,212.84

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Solution

The fourth proportional to 5,410.78, 8,105.84 and 3,212.84 is: 4,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.78 : 8,105.84 = 3,212.84 : x
  2. Step 2: Convert to fraction form
    5,410.78/8,105.84 = 3,212.84/x
  3. Step 3: Cross multiply
    5,410.78x = 8,105.84 × 3,212.84
  4. Step 4: Simplify right side
    5,410.78x = 26,042,766.99
  5. Step 5: Solve for x
    x = 26,042,766.99/5,410.78
  6. Step 6: Final answer
    x = 4,813.13

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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.