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Finding the Fourth Proportional to 3,855.99, 5,786.01 and 2,102.25

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Solution

The fourth proportional to 3,855.99, 5,786.01 and 2,102.25 is: 3,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.99 : 5,786.01 = 2,102.25 : x
  2. Step 2: Convert to fraction form
    3,855.99/5,786.01 = 2,102.25/x
  3. Step 3: Cross multiply
    3,855.99x = 5,786.01 × 2,102.25
  4. Step 4: Simplify right side
    3,855.99x = 12,163,639.52
  5. Step 5: Solve for x
    x = 12,163,639.52/3,855.99
  6. Step 6: Final answer
    x = 3,154.48

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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.