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Finding the Fourth Proportional to 20,016, 27,628.56 and 12,564

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Solution

The fourth proportional to 20,016, 27,628.56 and 12,564 is: 17,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016 : 27,628.56 = 12,564 : x
  2. Step 2: Convert to fraction form
    20,016/27,628.56 = 12,564/x
  3. Step 3: Cross multiply
    20,016x = 27,628.56 × 12,564
  4. Step 4: Simplify right side
    20,016x = 347,125,227.84
  5. Step 5: Solve for x
    x = 347,125,227.84/20,016
  6. Step 6: Final answer
    x = 17,342.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.