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Finding the Fourth Proportional to 19,694, 27,180.06 and 11,197.41

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Solution

The fourth proportional to 19,694, 27,180.06 and 11,197.41 is: 15,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694 : 27,180.06 = 11,197.41 : x
  2. Step 2: Convert to fraction form
    19,694/27,180.06 = 11,197.41/x
  3. Step 3: Cross multiply
    19,694x = 27,180.06 × 11,197.41
  4. Step 4: Simplify right side
    19,694x = 304,346,275.64
  5. Step 5: Solve for x
    x = 304,346,275.64/19,694
  6. Step 6: Final answer
    x = 15,453.76

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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.