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Finding the Fourth Proportional to 19,767.48, 27,279 and 10,815

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Solution

The fourth proportional to 19,767.48, 27,279 and 10,815 is: 14,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.48 : 27,279 = 10,815 : x
  2. Step 2: Convert to fraction form
    19,767.48/27,279 = 10,815/x
  3. Step 3: Cross multiply
    19,767.48x = 27,279 × 10,815
  4. Step 4: Simplify right side
    19,767.48x = 295,022,385
  5. Step 5: Solve for x
    x = 295,022,385/19,767.48
  6. Step 6: Final answer
    x = 14,924.63

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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.