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Finding the Fourth Proportional to 3,874.59, 5,811.90 and 2,143.22

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Solution

The fourth proportional to 3,874.59, 5,811.90 and 2,143.22 is: 3,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.59 : 5,811.90 = 2,143.22 : x
  2. Step 2: Convert to fraction form
    3,874.59/5,811.90 = 2,143.22/x
  3. Step 3: Cross multiply
    3,874.59x = 5,811.90 × 2,143.22
  4. Step 4: Simplify right side
    3,874.59x = 12,456,151.26
  5. Step 5: Solve for x
    x = 12,456,151.26/3,874.59
  6. Step 6: Final answer
    x = 3,214.83

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1.5x scale

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.