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Finding the Fourth Proportional to 13,893.78, 20,836.32 and 4,033.74

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Solution

The fourth proportional to 13,893.78, 20,836.32 and 4,033.74 is: 6,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.78 : 20,836.32 = 4,033.74 : x
  2. Step 2: Convert to fraction form
    13,893.78/20,836.32 = 4,033.74/x
  3. Step 3: Cross multiply
    13,893.78x = 20,836.32 × 4,033.74
  4. Step 4: Simplify right side
    13,893.78x = 84,048,297.44
  5. Step 5: Solve for x
    x = 84,048,297.44/13,893.78
  6. Step 6: Final answer
    x = 6,049.35

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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.