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Finding the Fourth Proportional to 1,874.94, 2,812.35 and 1,092.54

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Solution

The fourth proportional to 1,874.94, 2,812.35 and 1,092.54 is: 1,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.94 : 2,812.35 = 1,092.54 : x
  2. Step 2: Convert to fraction form
    1,874.94/2,812.35 = 1,092.54/x
  3. Step 3: Cross multiply
    1,874.94x = 2,812.35 × 1,092.54
  4. Step 4: Simplify right side
    1,874.94x = 3,072,604.87
  5. Step 5: Solve for x
    x = 3,072,604.87/1,874.94
  6. Step 6: Final answer
    x = 1,638.78

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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.