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Finding the Fourth Proportional to 2,601.73, 3,903 and 1,141.30

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Solution

The fourth proportional to 2,601.73, 3,903 and 1,141.30 is: 1,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.73 : 3,903 = 1,141.30 : x
  2. Step 2: Convert to fraction form
    2,601.73/3,903 = 1,141.30/x
  3. Step 3: Cross multiply
    2,601.73x = 3,903 × 1,141.30
  4. Step 4: Simplify right side
    2,601.73x = 4,454,493.90
  5. Step 5: Solve for x
    x = 4,454,493.90/2,601.73
  6. Step 6: Final answer
    x = 1,712.13

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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.