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Finding the Fourth Proportional to 13,411.88, 20,112.39 and 4,049

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Solution

The fourth proportional to 13,411.88, 20,112.39 and 4,049 is: 6,071.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.88 : 20,112.39 = 4,049 : x
  2. Step 2: Convert to fraction form
    13,411.88/20,112.39 = 4,049/x
  3. Step 3: Cross multiply
    13,411.88x = 20,112.39 × 4,049
  4. Step 4: Simplify right side
    13,411.88x = 81,435,067.11
  5. Step 5: Solve for x
    x = 81,435,067.11/13,411.88
  6. Step 6: Final answer
    x = 6,071.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.