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Finding the Fourth Proportional to 13,785.54, 20,673.67 and 5,468.42

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Solution

The fourth proportional to 13,785.54, 20,673.67 and 5,468.42 is: 8,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.54 : 20,673.67 = 5,468.42 : x
  2. Step 2: Convert to fraction form
    13,785.54/20,673.67 = 5,468.42/x
  3. Step 3: Cross multiply
    13,785.54x = 20,673.67 × 5,468.42
  4. Step 4: Simplify right side
    13,785.54x = 113,052,310.50
  5. Step 5: Solve for x
    x = 113,052,310.50/13,785.54
  6. Step 6: Final answer
    x = 8,200.79

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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.