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Finding the Fourth Proportional to 19,631, 27,090.78 and 10,799

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Solution

The fourth proportional to 19,631, 27,090.78 and 10,799 is: 14,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,631 : 27,090.78 = 10,799 : x
  2. Step 2: Convert to fraction form
    19,631/27,090.78 = 10,799/x
  3. Step 3: Cross multiply
    19,631x = 27,090.78 × 10,799
  4. Step 4: Simplify right side
    19,631x = 292,553,333.22
  5. Step 5: Solve for x
    x = 292,553,333.22/19,631
  6. Step 6: Final answer
    x = 14,902.62

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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.