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Finding the Fourth Proportional to 13,906.98, 20,904.21 and 12,080.84

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Solution

The fourth proportional to 13,906.98, 20,904.21 and 12,080.84 is: 18,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.98 : 20,904.21 = 12,080.84 : x
  2. Step 2: Convert to fraction form
    13,906.98/20,904.21 = 12,080.84/x
  3. Step 3: Cross multiply
    13,906.98x = 20,904.21 × 12,080.84
  4. Step 4: Simplify right side
    13,906.98x = 252,540,311.82
  5. Step 5: Solve for x
    x = 252,540,311.82/13,906.98
  6. Step 6: Final answer
    x = 18,159.25

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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.