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Finding the Fourth Proportional to 12,404, 18,606 and 3,170.08

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Solution

The fourth proportional to 12,404, 18,606 and 3,170.08 is: 4,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404 : 18,606 = 3,170.08 : x
  2. Step 2: Convert to fraction form
    12,404/18,606 = 3,170.08/x
  3. Step 3: Cross multiply
    12,404x = 18,606 × 3,170.08
  4. Step 4: Simplify right side
    12,404x = 58,982,508.48
  5. Step 5: Solve for x
    x = 58,982,508.48/12,404
  6. Step 6: Final answer
    x = 4,755.12

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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.