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Finding the Fourth Proportional to 13,729.32, 20,584.98 and 5,410.44

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Solution

The fourth proportional to 13,729.32, 20,584.98 and 5,410.44 is: 8,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.32 : 20,584.98 = 5,410.44 : x
  2. Step 2: Convert to fraction form
    13,729.32/20,584.98 = 5,410.44/x
  3. Step 3: Cross multiply
    13,729.32x = 20,584.98 × 5,410.44
  4. Step 4: Simplify right side
    13,729.32x = 111,373,799.19
  5. Step 5: Solve for x
    x = 111,373,799.19/13,729.32
  6. Step 6: Final answer
    x = 8,112.11

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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.