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Finding the Fourth Proportional to 2,083.86, 3,125.79 and 851.27

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Solution

The fourth proportional to 2,083.86, 3,125.79 and 851.27 is: 1,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.86 : 3,125.79 = 851.27 : x
  2. Step 2: Convert to fraction form
    2,083.86/3,125.79 = 851.27/x
  3. Step 3: Cross multiply
    2,083.86x = 3,125.79 × 851.27
  4. Step 4: Simplify right side
    2,083.86x = 2,660,883.44
  5. Step 5: Solve for x
    x = 2,660,883.44/2,083.86
  6. Step 6: Final answer
    x = 1,276.90

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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.