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Finding the Fourth Proportional to 12,401.92, 18,604.80 and 4,192

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Solution

The fourth proportional to 12,401.92, 18,604.80 and 4,192 is: 6,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.92 : 18,604.80 = 4,192 : x
  2. Step 2: Convert to fraction form
    12,401.92/18,604.80 = 4,192/x
  3. Step 3: Cross multiply
    12,401.92x = 18,604.80 × 4,192
  4. Step 4: Simplify right side
    12,401.92x = 77,991,321.60
  5. Step 5: Solve for x
    x = 77,991,321.60/12,401.92
  6. Step 6: Final answer
    x = 6,288.65

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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.