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Finding the Fourth Proportional to 3,847.70, 5,770.26 and 1,250

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Solution

The fourth proportional to 3,847.70, 5,770.26 and 1,250 is: 1,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.70 : 5,770.26 = 1,250 : x
  2. Step 2: Convert to fraction form
    3,847.70/5,770.26 = 1,250/x
  3. Step 3: Cross multiply
    3,847.70x = 5,770.26 × 1,250
  4. Step 4: Simplify right side
    3,847.70x = 7,212,825
  5. Step 5: Solve for x
    x = 7,212,825/3,847.70
  6. Step 6: Final answer
    x = 1,874.58

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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.