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Finding the Fourth Proportional to 19,654, 27,122.52 and 10,822

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Solution

The fourth proportional to 19,654, 27,122.52 and 10,822 is: 14,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 27,122.52 = 10,822 : x
  2. Step 2: Convert to fraction form
    19,654/27,122.52 = 10,822/x
  3. Step 3: Cross multiply
    19,654x = 27,122.52 × 10,822
  4. Step 4: Simplify right side
    19,654x = 293,519,911.44
  5. Step 5: Solve for x
    x = 293,519,911.44/19,654
  6. Step 6: Final answer
    x = 14,934.36

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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.