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Finding the Fourth Proportional to 8,696.73, 13,047.53 and 2,857.44

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Solution

The fourth proportional to 8,696.73, 13,047.53 and 2,857.44 is: 4,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.73 : 13,047.53 = 2,857.44 : x
  2. Step 2: Convert to fraction form
    8,696.73/13,047.53 = 2,857.44/x
  3. Step 3: Cross multiply
    8,696.73x = 13,047.53 × 2,857.44
  4. Step 4: Simplify right side
    8,696.73x = 37,282,519.84
  5. Step 5: Solve for x
    x = 37,282,519.84/8,696.73
  6. Step 6: Final answer
    x = 4,286.96

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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.