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Finding the Fourth Proportional to 12,206.88, 18,310.19 and 2,972.88

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Solution

The fourth proportional to 12,206.88, 18,310.19 and 2,972.88 is: 4,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.88 : 18,310.19 = 2,972.88 : x
  2. Step 2: Convert to fraction form
    12,206.88/18,310.19 = 2,972.88/x
  3. Step 3: Cross multiply
    12,206.88x = 18,310.19 × 2,972.88
  4. Step 4: Simplify right side
    12,206.88x = 54,433,982.78
  5. Step 5: Solve for x
    x = 54,433,982.78/12,206.88
  6. Step 6: Final answer
    x = 4,459.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.