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Finding the Fourth Proportional to 8,129.91, 12,192.34 and 2,935.11

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Solution

The fourth proportional to 8,129.91, 12,192.34 and 2,935.11 is: 4,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.91 : 12,192.34 = 2,935.11 : x
  2. Step 2: Convert to fraction form
    8,129.91/12,192.34 = 2,935.11/x
  3. Step 3: Cross multiply
    8,129.91x = 12,192.34 × 2,935.11
  4. Step 4: Simplify right side
    8,129.91x = 35,785,859.06
  5. Step 5: Solve for x
    x = 35,785,859.06/8,129.91
  6. Step 6: Final answer
    x = 4,401.75

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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.