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Finding the Fourth Proportional to 13,678, 20,515.12 and 5,352.24

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Solution

The fourth proportional to 13,678, 20,515.12 and 5,352.24 is: 8,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678 : 20,515.12 = 5,352.24 : x
  2. Step 2: Convert to fraction form
    13,678/20,515.12 = 5,352.24/x
  3. Step 3: Cross multiply
    13,678x = 20,515.12 × 5,352.24
  4. Step 4: Simplify right side
    13,678x = 109,801,845.87
  5. Step 5: Solve for x
    x = 109,801,845.87/13,678
  6. Step 6: Final answer
    x = 8,027.62

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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.