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Finding the Fourth Proportional to 2,083.28, 3,125.75 and 851.72

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Solution

The fourth proportional to 2,083.28, 3,125.75 and 851.72 is: 1,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.28 : 3,125.75 = 851.72 : x
  2. Step 2: Convert to fraction form
    2,083.28/3,125.75 = 851.72/x
  3. Step 3: Cross multiply
    2,083.28x = 3,125.75 × 851.72
  4. Step 4: Simplify right side
    2,083.28x = 2,662,243.90
  5. Step 5: Solve for x
    x = 2,662,243.90/2,083.28
  6. Step 6: Final answer
    x = 1,277.91

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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.