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Finding the Fourth Proportional to 8,141.63, 12,203.91 and 3,761.96

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Solution

The fourth proportional to 8,141.63, 12,203.91 and 3,761.96 is: 5,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.63 : 12,203.91 = 3,761.96 : x
  2. Step 2: Convert to fraction form
    8,141.63/12,203.91 = 3,761.96/x
  3. Step 3: Cross multiply
    8,141.63x = 12,203.91 × 3,761.96
  4. Step 4: Simplify right side
    8,141.63x = 45,910,560.24
  5. Step 5: Solve for x
    x = 45,910,560.24/8,141.63
  6. Step 6: Final answer
    x = 5,638.99

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1.5x scale

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.