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Finding the Fourth Proportional to 18,954.65, 28,408.91 and 13,409.60

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Solution

The fourth proportional to 18,954.65, 28,408.91 and 13,409.60 is: 20,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,954.65 : 28,408.91 = 13,409.60 : x
  2. Step 2: Convert to fraction form
    18,954.65/28,408.91 = 13,409.60/x
  3. Step 3: Cross multiply
    18,954.65x = 28,408.91 × 13,409.60
  4. Step 4: Simplify right side
    18,954.65x = 380,951,910.44
  5. Step 5: Solve for x
    x = 380,951,910.44/18,954.65
  6. Step 6: Final answer
    x = 20,098.07

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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.