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Finding the Fourth Proportional to 3,871.21, 5,807.23 and 1,237.80

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Solution

The fourth proportional to 3,871.21, 5,807.23 and 1,237.80 is: 1,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.21 : 5,807.23 = 1,237.80 : x
  2. Step 2: Convert to fraction form
    3,871.21/5,807.23 = 1,237.80/x
  3. Step 3: Cross multiply
    3,871.21x = 5,807.23 × 1,237.80
  4. Step 4: Simplify right side
    3,871.21x = 7,188,189.29
  5. Step 5: Solve for x
    x = 7,188,189.29/3,871.21
  6. Step 6: Final answer
    x = 1,856.83

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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.