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Finding the Fourth Proportional to 3,847.55, 5,770.08 and 1,249.88

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Solution

The fourth proportional to 3,847.55, 5,770.08 and 1,249.88 is: 1,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.55 : 5,770.08 = 1,249.88 : x
  2. Step 2: Convert to fraction form
    3,847.55/5,770.08 = 1,249.88/x
  3. Step 3: Cross multiply
    3,847.55x = 5,770.08 × 1,249.88
  4. Step 4: Simplify right side
    3,847.55x = 7,211,878.74
  5. Step 5: Solve for x
    x = 7,211,878.74/3,847.55
  6. Step 6: Final answer
    x = 1,874.41

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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.