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Finding the Fourth Proportional to 3,435.70, 4,741.22 and 1,863.78

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Solution

The fourth proportional to 3,435.70, 4,741.22 and 1,863.78 is: 2,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.70 : 4,741.22 = 1,863.78 : x
  2. Step 2: Convert to fraction form
    3,435.70/4,741.22 = 1,863.78/x
  3. Step 3: Cross multiply
    3,435.70x = 4,741.22 × 1,863.78
  4. Step 4: Simplify right side
    3,435.70x = 8,836,591.01
  5. Step 5: Solve for x
    x = 8,836,591.01/3,435.70
  6. Step 6: Final answer
    x = 2,571.99

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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.