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Finding the Fourth Proportional to 8,241.24, 12,353.22 and 3,855

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Solution

The fourth proportional to 8,241.24, 12,353.22 and 3,855 is: 5,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.24 : 12,353.22 = 3,855 : x
  2. Step 2: Convert to fraction form
    8,241.24/12,353.22 = 3,855/x
  3. Step 3: Cross multiply
    8,241.24x = 12,353.22 × 3,855
  4. Step 4: Simplify right side
    8,241.24x = 47,621,663.10
  5. Step 5: Solve for x
    x = 47,621,663.10/8,241.24
  6. Step 6: Final answer
    x = 5,778.46

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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.