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Finding the Fourth Proportional to 3,786.43, 5,679.41 and 1,813.46

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Solution

The fourth proportional to 3,786.43, 5,679.41 and 1,813.46 is: 2,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.43 : 5,679.41 = 1,813.46 : x
  2. Step 2: Convert to fraction form
    3,786.43/5,679.41 = 1,813.46/x
  3. Step 3: Cross multiply
    3,786.43x = 5,679.41 × 1,813.46
  4. Step 4: Simplify right side
    3,786.43x = 10,299,373.79
  5. Step 5: Solve for x
    x = 10,299,373.79/3,786.43
  6. Step 6: Final answer
    x = 2,720.08

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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.