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Finding the Fourth Proportional to 1,257.73, 1,883.73 and 1,083.00

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Solution

The fourth proportional to 1,257.73, 1,883.73 and 1,083.00 is: 1,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.73 : 1,883.73 = 1,083.00 : x
  2. Step 2: Convert to fraction form
    1,257.73/1,883.73 = 1,083.00/x
  3. Step 3: Cross multiply
    1,257.73x = 1,883.73 × 1,083.00
  4. Step 4: Simplify right side
    1,257.73x = 2,040,090.72
  5. Step 5: Solve for x
    x = 2,040,090.72/1,257.73
  6. Step 6: Final answer
    x = 1,622.05

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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.