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Finding the Fourth Proportional to 3,786.84, 5,676.41 and 1,446.21

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Solution

The fourth proportional to 3,786.84, 5,676.41 and 1,446.21 is: 2,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.84 : 5,676.41 = 1,446.21 : x
  2. Step 2: Convert to fraction form
    3,786.84/5,676.41 = 1,446.21/x
  3. Step 3: Cross multiply
    3,786.84x = 5,676.41 × 1,446.21
  4. Step 4: Simplify right side
    3,786.84x = 8,209,284.52
  5. Step 5: Solve for x
    x = 8,209,284.52/3,786.84
  6. Step 6: Final answer
    x = 2,167.85

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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.