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Finding the Fourth Proportional to 8,502.78, 12,754.82 and 2,659.38

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Solution

The fourth proportional to 8,502.78, 12,754.82 and 2,659.38 is: 3,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.78 : 12,754.82 = 2,659.38 : x
  2. Step 2: Convert to fraction form
    8,502.78/12,754.82 = 2,659.38/x
  3. Step 3: Cross multiply
    8,502.78x = 12,754.82 × 2,659.38
  4. Step 4: Simplify right side
    8,502.78x = 33,919,913.21
  5. Step 5: Solve for x
    x = 33,919,913.21/8,502.78
  6. Step 6: Final answer
    x = 3,989.27

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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.