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Finding the Fourth Proportional to 2,092.78, 3,138.52 and 705.81

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Solution

The fourth proportional to 2,092.78, 3,138.52 and 705.81 is: 1,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.78 : 3,138.52 = 705.81 : x
  2. Step 2: Convert to fraction form
    2,092.78/3,138.52 = 705.81/x
  3. Step 3: Cross multiply
    2,092.78x = 3,138.52 × 705.81
  4. Step 4: Simplify right side
    2,092.78x = 2,215,198.80
  5. Step 5: Solve for x
    x = 2,215,198.80/2,092.78
  6. Step 6: Final answer
    x = 1,058.50

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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.