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Finding the Fourth Proportional to 13,523, 20,285.42 and 4,162.44

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Solution

The fourth proportional to 13,523, 20,285.42 and 4,162.44 is: 6,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523 : 20,285.42 = 4,162.44 : x
  2. Step 2: Convert to fraction form
    13,523/20,285.42 = 4,162.44/x
  3. Step 3: Cross multiply
    13,523x = 20,285.42 × 4,162.44
  4. Step 4: Simplify right side
    13,523x = 84,436,843.62
  5. Step 5: Solve for x
    x = 84,436,843.62/13,523
  6. Step 6: Final answer
    x = 6,243.94

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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.