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Finding the Fourth Proportional to 3,409.94, 5,108.34 and 2,855.54

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Solution

The fourth proportional to 3,409.94, 5,108.34 and 2,855.54 is: 4,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.94 : 5,108.34 = 2,855.54 : x
  2. Step 2: Convert to fraction form
    3,409.94/5,108.34 = 2,855.54/x
  3. Step 3: Cross multiply
    3,409.94x = 5,108.34 × 2,855.54
  4. Step 4: Simplify right side
    3,409.94x = 14,587,069.20
  5. Step 5: Solve for x
    x = 14,587,069.20/3,409.94
  6. Step 6: Final answer
    x = 4,277.81

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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.