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Finding the Fourth Proportional to 3,298, 4,940.82 and 1,652.62

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Solution

The fourth proportional to 3,298, 4,940.82 and 1,652.62 is: 2,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298 : 4,940.82 = 1,652.62 : x
  2. Step 2: Convert to fraction form
    3,298/4,940.82 = 1,652.62/x
  3. Step 3: Cross multiply
    3,298x = 4,940.82 × 1,652.62
  4. Step 4: Simplify right side
    3,298x = 8,165,297.95
  5. Step 5: Solve for x
    x = 8,165,297.95/3,298
  6. Step 6: Final answer
    x = 2,475.83

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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.