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Finding the Fourth Proportional to 19,781, 27,297.78 and 10,949

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Solution

The fourth proportional to 19,781, 27,297.78 and 10,949 is: 15,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781 : 27,297.78 = 10,949 : x
  2. Step 2: Convert to fraction form
    19,781/27,297.78 = 10,949/x
  3. Step 3: Cross multiply
    19,781x = 27,297.78 × 10,949
  4. Step 4: Simplify right side
    19,781x = 298,883,393.22
  5. Step 5: Solve for x
    x = 298,883,393.22/19,781
  6. Step 6: Final answer
    x = 15,109.62

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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.