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Finding the Fourth Proportional to 13,481.96, 18,605.12 and 7,817.80

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Solution

The fourth proportional to 13,481.96, 18,605.12 and 7,817.80 is: 10,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.96 : 18,605.12 = 7,817.80 : x
  2. Step 2: Convert to fraction form
    13,481.96/18,605.12 = 7,817.80/x
  3. Step 3: Cross multiply
    13,481.96x = 18,605.12 × 7,817.80
  4. Step 4: Simplify right side
    13,481.96x = 145,451,107.14
  5. Step 5: Solve for x
    x = 145,451,107.14/13,481.96
  6. Step 6: Final answer
    x = 10,788.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.