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Finding the Fourth Proportional to 3,194.87, 4,408.87 and 1,778.61

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Solution

The fourth proportional to 3,194.87, 4,408.87 and 1,778.61 is: 2,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.87 : 4,408.87 = 1,778.61 : x
  2. Step 2: Convert to fraction form
    3,194.87/4,408.87 = 1,778.61/x
  3. Step 3: Cross multiply
    3,194.87x = 4,408.87 × 1,778.61
  4. Step 4: Simplify right side
    3,194.87x = 7,841,651.38
  5. Step 5: Solve for x
    x = 7,841,651.38/3,194.87
  6. Step 6: Final answer
    x = 2,454.45

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.