Home / 2,092.11-3,138.65-705.41

Finding the Fourth Proportional to 2,092.11, 3,138.65 and 705.41

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Solution

The fourth proportional to 2,092.11, 3,138.65 and 705.41 is: 1,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.11 : 3,138.65 = 705.41 : x
  2. Step 2: Convert to fraction form
    2,092.11/3,138.65 = 705.41/x
  3. Step 3: Cross multiply
    2,092.11x = 3,138.65 × 705.41
  4. Step 4: Simplify right side
    2,092.11x = 2,214,039.42
  5. Step 5: Solve for x
    x = 2,214,039.42/2,092.11
  6. Step 6: Final answer
    x = 1,058.28

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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.