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Finding the Fourth Proportional to 19,662.32, 27,161.52 and 13,691

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Solution

The fourth proportional to 19,662.32, 27,161.52 and 13,691 is: 18,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.32 : 27,161.52 = 13,691 : x
  2. Step 2: Convert to fraction form
    19,662.32/27,161.52 = 13,691/x
  3. Step 3: Cross multiply
    19,662.32x = 27,161.52 × 13,691
  4. Step 4: Simplify right side
    19,662.32x = 371,868,370.32
  5. Step 5: Solve for x
    x = 371,868,370.32/19,662.32
  6. Step 6: Final answer
    x = 18,912.74

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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.