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Finding the Fourth Proportional to 2,517.31, 3,473.82 and 1,398.22

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Solution

The fourth proportional to 2,517.31, 3,473.82 and 1,398.22 is: 1,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.31 : 3,473.82 = 1,398.22 : x
  2. Step 2: Convert to fraction form
    2,517.31/3,473.82 = 1,398.22/x
  3. Step 3: Cross multiply
    2,517.31x = 3,473.82 × 1,398.22
  4. Step 4: Simplify right side
    2,517.31x = 4,857,155.41
  5. Step 5: Solve for x
    x = 4,857,155.41/2,517.31
  6. Step 6: Final answer
    x = 1,929.50

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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.