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Finding the Fourth Proportional to 13,728.87, 20,594.67 and 6,335.44

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Solution

The fourth proportional to 13,728.87, 20,594.67 and 6,335.44 is: 9,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.87 : 20,594.67 = 6,335.44 : x
  2. Step 2: Convert to fraction form
    13,728.87/20,594.67 = 6,335.44/x
  3. Step 3: Cross multiply
    13,728.87x = 20,594.67 × 6,335.44
  4. Step 4: Simplify right side
    13,728.87x = 130,476,296.10
  5. Step 5: Solve for x
    x = 130,476,296.10/13,728.87
  6. Step 6: Final answer
    x = 9,503.79

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