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Finding the Fourth Proportional to 8,241.16, 12,361.50 and 3,309.48

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Solution

The fourth proportional to 8,241.16, 12,361.50 and 3,309.48 is: 4,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.16 : 12,361.50 = 3,309.48 : x
  2. Step 2: Convert to fraction form
    8,241.16/12,361.50 = 3,309.48/x
  3. Step 3: Cross multiply
    8,241.16x = 12,361.50 × 3,309.48
  4. Step 4: Simplify right side
    8,241.16x = 40,910,137.02
  5. Step 5: Solve for x
    x = 40,910,137.02/8,241.16
  6. Step 6: Final answer
    x = 4,964.12

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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.