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Finding the Fourth Proportional to 5,414.53, 8,121.78 and 3,943.11

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Solution

The fourth proportional to 5,414.53, 8,121.78 and 3,943.11 is: 5,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.53 : 8,121.78 = 3,943.11 : x
  2. Step 2: Convert to fraction form
    5,414.53/8,121.78 = 3,943.11/x
  3. Step 3: Cross multiply
    5,414.53x = 8,121.78 × 3,943.11
  4. Step 4: Simplify right side
    5,414.53x = 32,025,066.42
  5. Step 5: Solve for x
    x = 32,025,066.42/5,414.53
  6. Step 6: Final answer
    x = 5,914.65

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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.