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Finding the Fourth Proportional to 3,857.35, 5,786.30 and 1,909.03

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Solution

The fourth proportional to 3,857.35, 5,786.30 and 1,909.03 is: 2,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.35 : 5,786.30 = 1,909.03 : x
  2. Step 2: Convert to fraction form
    3,857.35/5,786.30 = 1,909.03/x
  3. Step 3: Cross multiply
    3,857.35x = 5,786.30 × 1,909.03
  4. Step 4: Simplify right side
    3,857.35x = 11,046,221.56
  5. Step 5: Solve for x
    x = 11,046,221.56/3,857.35
  6. Step 6: Final answer
    x = 2,863.68

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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.