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Finding the Fourth Proportional to 3,813, 5,720.22 and 1,761

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Solution

The fourth proportional to 3,813, 5,720.22 and 1,761 is: 2,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813 : 5,720.22 = 1,761 : x
  2. Step 2: Convert to fraction form
    3,813/5,720.22 = 1,761/x
  3. Step 3: Cross multiply
    3,813x = 5,720.22 × 1,761
  4. Step 4: Simplify right side
    3,813x = 10,073,307.42
  5. Step 5: Solve for x
    x = 10,073,307.42/3,813
  6. Step 6: Final answer
    x = 2,641.83

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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.