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Finding the Fourth Proportional to 13,872.87, 20,807.25 and 5,105.74

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Solution

The fourth proportional to 13,872.87, 20,807.25 and 5,105.74 is: 7,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.87 : 20,807.25 = 5,105.74 : x
  2. Step 2: Convert to fraction form
    13,872.87/20,807.25 = 5,105.74/x
  3. Step 3: Cross multiply
    13,872.87x = 20,807.25 × 5,105.74
  4. Step 4: Simplify right side
    13,872.87x = 106,236,408.62
  5. Step 5: Solve for x
    x = 106,236,408.62/13,872.87
  6. Step 6: Final answer
    x = 7,657.85

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1.5x scale

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.