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Finding the Fourth Proportional to 8,857.68, 13,286.72 and 2,283.88

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Solution

The fourth proportional to 8,857.68, 13,286.72 and 2,283.88 is: 3,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.68 : 13,286.72 = 2,283.88 : x
  2. Step 2: Convert to fraction form
    8,857.68/13,286.72 = 2,283.88/x
  3. Step 3: Cross multiply
    8,857.68x = 13,286.72 × 2,283.88
  4. Step 4: Simplify right side
    8,857.68x = 30,345,274.07
  5. Step 5: Solve for x
    x = 30,345,274.07/8,857.68
  6. Step 6: Final answer
    x = 3,425.87

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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.