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Finding the Fourth Proportional to 2,092.55, 3,138.14 and 859.41

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Solution

The fourth proportional to 2,092.55, 3,138.14 and 859.41 is: 1,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.55 : 3,138.14 = 859.41 : x
  2. Step 2: Convert to fraction form
    2,092.55/3,138.14 = 859.41/x
  3. Step 3: Cross multiply
    2,092.55x = 3,138.14 × 859.41
  4. Step 4: Simplify right side
    2,092.55x = 2,696,951.05
  5. Step 5: Solve for x
    x = 2,696,951.05/2,092.55
  6. Step 6: Final answer
    x = 1,288.83

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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.