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Finding the Fourth Proportional to 3,846.64, 5,769.96 and 1,249.78

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Solution

The fourth proportional to 3,846.64, 5,769.96 and 1,249.78 is: 1,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.64 : 5,769.96 = 1,249.78 : x
  2. Step 2: Convert to fraction form
    3,846.64/5,769.96 = 1,249.78/x
  3. Step 3: Cross multiply
    3,846.64x = 5,769.96 × 1,249.78
  4. Step 4: Simplify right side
    3,846.64x = 7,211,180.61
  5. Step 5: Solve for x
    x = 7,211,180.61/3,846.64
  6. Step 6: Final answer
    x = 1,874.67

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1.5x scale

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.