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Finding the Fourth Proportional to 3,410.96, 5,107.80 and 2,108.48

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Solution

The fourth proportional to 3,410.96, 5,107.80 and 2,108.48 is: 3,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.96 : 5,107.80 = 2,108.48 : x
  2. Step 2: Convert to fraction form
    3,410.96/5,107.80 = 2,108.48/x
  3. Step 3: Cross multiply
    3,410.96x = 5,107.80 × 2,108.48
  4. Step 4: Simplify right side
    3,410.96x = 10,769,694.14
  5. Step 5: Solve for x
    x = 10,769,694.14/3,410.96
  6. Step 6: Final answer
    x = 3,157.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.