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Finding the Fourth Proportional to 19,811.22, 27,343.90 and 13,097.82

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Solution

The fourth proportional to 19,811.22, 27,343.90 and 13,097.82 is: 18,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.22 : 27,343.90 = 13,097.82 : x
  2. Step 2: Convert to fraction form
    19,811.22/27,343.90 = 13,097.82/x
  3. Step 3: Cross multiply
    19,811.22x = 27,343.90 × 13,097.82
  4. Step 4: Simplify right side
    19,811.22x = 358,145,480.30
  5. Step 5: Solve for x
    x = 358,145,480.30/19,811.22
  6. Step 6: Final answer
    x = 18,077.91

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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.