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Finding the Fourth Proportional to 8,241.84, 12,366.81 and 3,859.61

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Solution

The fourth proportional to 8,241.84, 12,366.81 and 3,859.61 is: 5,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.84 : 12,366.81 = 3,859.61 : x
  2. Step 2: Convert to fraction form
    8,241.84/12,366.81 = 3,859.61/x
  3. Step 3: Cross multiply
    8,241.84x = 12,366.81 × 3,859.61
  4. Step 4: Simplify right side
    8,241.84x = 47,731,001.71
  5. Step 5: Solve for x
    x = 47,731,001.71/8,241.84
  6. Step 6: Final answer
    x = 5,791.30

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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.