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Finding the Fourth Proportional to 2,083.67, 3,127.14 and 851.93

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Solution

The fourth proportional to 2,083.67, 3,127.14 and 851.93 is: 1,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.67 : 3,127.14 = 851.93 : x
  2. Step 2: Convert to fraction form
    2,083.67/3,127.14 = 851.93/x
  3. Step 3: Cross multiply
    2,083.67x = 3,127.14 × 851.93
  4. Step 4: Simplify right side
    2,083.67x = 2,664,104.38
  5. Step 5: Solve for x
    x = 2,664,104.38/2,083.67
  6. Step 6: Final answer
    x = 1,278.56

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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.