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Finding the Fourth Proportional to 13,905.92, 20,809.20 and 12,078.56

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Solution

The fourth proportional to 13,905.92, 20,809.20 and 12,078.56 is: 18,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.92 : 20,809.20 = 12,078.56 : x
  2. Step 2: Convert to fraction form
    13,905.92/20,809.20 = 12,078.56/x
  3. Step 3: Cross multiply
    13,905.92x = 20,809.20 × 12,078.56
  4. Step 4: Simplify right side
    13,905.92x = 251,345,170.75
  5. Step 5: Solve for x
    x = 251,345,170.75/13,905.92
  6. Step 6: Final answer
    x = 18,074.69

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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.