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Finding the Fourth Proportional to 12,581.84, 18,839.64 and 8,863.88

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Solution

The fourth proportional to 12,581.84, 18,839.64 and 8,863.88 is: 13,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.84 : 18,839.64 = 8,863.88 : x
  2. Step 2: Convert to fraction form
    12,581.84/18,839.64 = 8,863.88/x
  3. Step 3: Cross multiply
    12,581.84x = 18,839.64 × 8,863.88
  4. Step 4: Simplify right side
    12,581.84x = 166,992,308.20
  5. Step 5: Solve for x
    x = 166,992,308.20/12,581.84
  6. Step 6: Final answer
    x = 13,272.49

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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.