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Finding the Fourth Proportional to 3,871.94, 5,808.23 and 1,239.83

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Solution

The fourth proportional to 3,871.94, 5,808.23 and 1,239.83 is: 1,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.94 : 5,808.23 = 1,239.83 : x
  2. Step 2: Convert to fraction form
    3,871.94/5,808.23 = 1,239.83/x
  3. Step 3: Cross multiply
    3,871.94x = 5,808.23 × 1,239.83
  4. Step 4: Simplify right side
    3,871.94x = 7,201,217.80
  5. Step 5: Solve for x
    x = 7,201,217.80/3,871.94
  6. Step 6: Final answer
    x = 1,859.85

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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.