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Finding the Fourth Proportional to 3,490.25, 5,236.20 and 1,024.97

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Solution

The fourth proportional to 3,490.25, 5,236.20 and 1,024.97 is: 1,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.25 : 5,236.20 = 1,024.97 : x
  2. Step 2: Convert to fraction form
    3,490.25/5,236.20 = 1,024.97/x
  3. Step 3: Cross multiply
    3,490.25x = 5,236.20 × 1,024.97
  4. Step 4: Simplify right side
    3,490.25x = 5,366,921.73
  5. Step 5: Solve for x
    x = 5,366,921.73/3,490.25
  6. Step 6: Final answer
    x = 1,537.69

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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.