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Finding the Fourth Proportional to 8,415.50, 12,625.08 and 3,221.38

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Solution

The fourth proportional to 8,415.50, 12,625.08 and 3,221.38 is: 4,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.50 : 12,625.08 = 3,221.38 : x
  2. Step 2: Convert to fraction form
    8,415.50/12,625.08 = 3,221.38/x
  3. Step 3: Cross multiply
    8,415.50x = 12,625.08 × 3,221.38
  4. Step 4: Simplify right side
    8,415.50x = 40,670,100.98
  5. Step 5: Solve for x
    x = 40,670,100.98/8,415.50
  6. Step 6: Final answer
    x = 4,832.76

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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.