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Finding the Fourth Proportional to 3,490.43, 5,236.42 and 1,932.71

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Solution

The fourth proportional to 3,490.43, 5,236.42 and 1,932.71 is: 2,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.43 : 5,236.42 = 1,932.71 : x
  2. Step 2: Convert to fraction form
    3,490.43/5,236.42 = 1,932.71/x
  3. Step 3: Cross multiply
    3,490.43x = 5,236.42 × 1,932.71
  4. Step 4: Simplify right side
    3,490.43x = 10,120,481.30
  5. Step 5: Solve for x
    x = 10,120,481.30/3,490.43
  6. Step 6: Final answer
    x = 2,899.49

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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.