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Finding the Fourth Proportional to 8,713.78, 13,072.14 and 2,869.06

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Solution

The fourth proportional to 8,713.78, 13,072.14 and 2,869.06 is: 4,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.78 : 13,072.14 = 2,869.06 : x
  2. Step 2: Convert to fraction form
    8,713.78/13,072.14 = 2,869.06/x
  3. Step 3: Cross multiply
    8,713.78x = 13,072.14 × 2,869.06
  4. Step 4: Simplify right side
    8,713.78x = 37,504,753.99
  5. Step 5: Solve for x
    x = 37,504,753.99/8,713.78
  6. Step 6: Final answer
    x = 4,304.07

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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.