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Finding the Fourth Proportional to 13,906.68, 20,839.08 and 8,353.92

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Solution

The fourth proportional to 13,906.68, 20,839.08 and 8,353.92 is: 12,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.68 : 20,839.08 = 8,353.92 : x
  2. Step 2: Convert to fraction form
    13,906.68/20,839.08 = 8,353.92/x
  3. Step 3: Cross multiply
    13,906.68x = 20,839.08 × 8,353.92
  4. Step 4: Simplify right side
    13,906.68x = 174,088,007.19
  5. Step 5: Solve for x
    x = 174,088,007.19/13,906.68
  6. Step 6: Final answer
    x = 12,518.30

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1.5x scale

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.