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Finding the Fourth Proportional to 2,084.83, 3,127.18 and 851.92

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Solution

The fourth proportional to 2,084.83, 3,127.18 and 851.92 is: 1,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.83 : 3,127.18 = 851.92 : x
  2. Step 2: Convert to fraction form
    2,084.83/3,127.18 = 851.92/x
  3. Step 3: Cross multiply
    2,084.83x = 3,127.18 × 851.92
  4. Step 4: Simplify right side
    2,084.83x = 2,664,107.19
  5. Step 5: Solve for x
    x = 2,664,107.19/2,084.83
  6. Step 6: Final answer
    x = 1,277.85

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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.