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Finding the Fourth Proportional to 12,672.10, 18,997.88 and 5,282.10

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Solution

The fourth proportional to 12,672.10, 18,997.88 and 5,282.10 is: 7,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.10 : 18,997.88 = 5,282.10 : x
  2. Step 2: Convert to fraction form
    12,672.10/18,997.88 = 5,282.10/x
  3. Step 3: Cross multiply
    12,672.10x = 18,997.88 × 5,282.10
  4. Step 4: Simplify right side
    12,672.10x = 100,348,701.95
  5. Step 5: Solve for x
    x = 100,348,701.95/12,672.10
  6. Step 6: Final answer
    x = 7,918.87

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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.