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Finding the Fourth Proportional to 19,663, 27,134.94 and 10,831

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Solution

The fourth proportional to 19,663, 27,134.94 and 10,831 is: 14,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663 : 27,134.94 = 10,831 : x
  2. Step 2: Convert to fraction form
    19,663/27,134.94 = 10,831/x
  3. Step 3: Cross multiply
    19,663x = 27,134.94 × 10,831
  4. Step 4: Simplify right side
    19,663x = 293,898,535.14
  5. Step 5: Solve for x
    x = 293,898,535.14/19,663
  6. Step 6: Final answer
    x = 14,946.78

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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.