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Finding the Fourth Proportional to 13,914.71, 20,874.80 and 5,149.70

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Solution

The fourth proportional to 13,914.71, 20,874.80 and 5,149.70 is: 7,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.71 : 20,874.80 = 5,149.70 : x
  2. Step 2: Convert to fraction form
    13,914.71/20,874.80 = 5,149.70/x
  3. Step 3: Cross multiply
    13,914.71x = 20,874.80 × 5,149.70
  4. Step 4: Simplify right side
    13,914.71x = 107,498,957.56
  5. Step 5: Solve for x
    x = 107,498,957.56/13,914.71
  6. Step 6: Final answer
    x = 7,725.56

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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.