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Finding the Fourth Proportional to 8,381, 12,571.80 and 2,225

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Solution

The fourth proportional to 8,381, 12,571.80 and 2,225 is: 3,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381 : 12,571.80 = 2,225 : x
  2. Step 2: Convert to fraction form
    8,381/12,571.80 = 2,225/x
  3. Step 3: Cross multiply
    8,381x = 12,571.80 × 2,225
  4. Step 4: Simplify right side
    8,381x = 27,972,255
  5. Step 5: Solve for x
    x = 27,972,255/8,381
  6. Step 6: Final answer
    x = 3,337.58

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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.