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Finding the Fourth Proportional to 19,689, 27,170.82 and 10,857

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Solution

The fourth proportional to 19,689, 27,170.82 and 10,857 is: 14,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689 : 27,170.82 = 10,857 : x
  2. Step 2: Convert to fraction form
    19,689/27,170.82 = 10,857/x
  3. Step 3: Cross multiply
    19,689x = 27,170.82 × 10,857
  4. Step 4: Simplify right side
    19,689x = 294,993,592.74
  5. Step 5: Solve for x
    x = 294,993,592.74/19,689
  6. Step 6: Final answer
    x = 14,982.66

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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.