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Finding the Fourth Proportional to 3,410.82, 4,705.50 and 2,149.62

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Solution

The fourth proportional to 3,410.82, 4,705.50 and 2,149.62 is: 2,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.82 : 4,705.50 = 2,149.62 : x
  2. Step 2: Convert to fraction form
    3,410.82/4,705.50 = 2,149.62/x
  3. Step 3: Cross multiply
    3,410.82x = 4,705.50 × 2,149.62
  4. Step 4: Simplify right side
    3,410.82x = 10,115,036.91
  5. Step 5: Solve for x
    x = 10,115,036.91/3,410.82
  6. Step 6: Final answer
    x = 2,965.57

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