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Finding the Fourth Proportional to 1,872.75, 2,809.27 and 1,092.83

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Solution

The fourth proportional to 1,872.75, 2,809.27 and 1,092.83 is: 1,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.75 : 2,809.27 = 1,092.83 : x
  2. Step 2: Convert to fraction form
    1,872.75/2,809.27 = 1,092.83/x
  3. Step 3: Cross multiply
    1,872.75x = 2,809.27 × 1,092.83
  4. Step 4: Simplify right side
    1,872.75x = 3,070,054.53
  5. Step 5: Solve for x
    x = 3,070,054.53/1,872.75
  6. Step 6: Final answer
    x = 1,639.33

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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.