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Finding the Fourth Proportional to 3,806.38, 5,253 and 2,314.05

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Solution

The fourth proportional to 3,806.38, 5,253 and 2,314.05 is: 3,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.38 : 5,253 = 2,314.05 : x
  2. Step 2: Convert to fraction form
    3,806.38/5,253 = 2,314.05/x
  3. Step 3: Cross multiply
    3,806.38x = 5,253 × 2,314.05
  4. Step 4: Simplify right side
    3,806.38x = 12,155,704.65
  5. Step 5: Solve for x
    x = 12,155,704.65/3,806.38
  6. Step 6: Final answer
    x = 3,193.51

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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.