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Finding the Fourth Proportional to 19,843.64, 27,384.20 and 10,891.17

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Solution

The fourth proportional to 19,843.64, 27,384.20 and 10,891.17 is: 15,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.64 : 27,384.20 = 10,891.17 : x
  2. Step 2: Convert to fraction form
    19,843.64/27,384.20 = 10,891.17/x
  3. Step 3: Cross multiply
    19,843.64x = 27,384.20 × 10,891.17
  4. Step 4: Simplify right side
    19,843.64x = 298,246,004.74
  5. Step 5: Solve for x
    x = 298,246,004.74/19,843.64
  6. Step 6: Final answer
    x = 15,029.80

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1.5x scale

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.