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Finding the Fourth Proportional to 3,850.75, 5,776.21 and 1,253.89

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Solution

The fourth proportional to 3,850.75, 5,776.21 and 1,253.89 is: 1,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.75 : 5,776.21 = 1,253.89 : x
  2. Step 2: Convert to fraction form
    3,850.75/5,776.21 = 1,253.89/x
  3. Step 3: Cross multiply
    3,850.75x = 5,776.21 × 1,253.89
  4. Step 4: Simplify right side
    3,850.75x = 7,242,703.08
  5. Step 5: Solve for x
    x = 7,242,703.08/3,850.75
  6. Step 6: Final answer
    x = 1,880.86

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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.