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Finding the Fourth Proportional to 13,876, 20,813.84 and 3,487.84

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Solution

The fourth proportional to 13,876, 20,813.84 and 3,487.84 is: 5,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876 : 20,813.84 = 3,487.84 : x
  2. Step 2: Convert to fraction form
    13,876/20,813.84 = 3,487.84/x
  3. Step 3: Cross multiply
    13,876x = 20,813.84 × 3,487.84
  4. Step 4: Simplify right side
    13,876x = 72,595,343.71
  5. Step 5: Solve for x
    x = 72,595,343.71/13,876
  6. Step 6: Final answer
    x = 5,231.72

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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.