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Finding the Fourth Proportional to 13,734.84, 20,601.20 and 4,375.39

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Solution

The fourth proportional to 13,734.84, 20,601.20 and 4,375.39 is: 6,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.84 : 20,601.20 = 4,375.39 : x
  2. Step 2: Convert to fraction form
    13,734.84/20,601.20 = 4,375.39/x
  3. Step 3: Cross multiply
    13,734.84x = 20,601.20 × 4,375.39
  4. Step 4: Simplify right side
    13,734.84x = 90,138,284.47
  5. Step 5: Solve for x
    x = 90,138,284.47/13,734.84
  6. Step 6: Final answer
    x = 6,562.75

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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.