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Finding the Fourth Proportional to 3,474.36, 5,207.90 and 2,747.79

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Solution

The fourth proportional to 3,474.36, 5,207.90 and 2,747.79 is: 4,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.36 : 5,207.90 = 2,747.79 : x
  2. Step 2: Convert to fraction form
    3,474.36/5,207.90 = 2,747.79/x
  3. Step 3: Cross multiply
    3,474.36x = 5,207.90 × 2,747.79
  4. Step 4: Simplify right side
    3,474.36x = 14,310,201.80
  5. Step 5: Solve for x
    x = 14,310,201.80/3,474.36
  6. Step 6: Final answer
    x = 4,118.80

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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.