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Finding the Fourth Proportional to 9,149.80, 13,713.90 and 6,838.60

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Solution

The fourth proportional to 9,149.80, 13,713.90 and 6,838.60 is: 10,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.80 : 13,713.90 = 6,838.60 : x
  2. Step 2: Convert to fraction form
    9,149.80/13,713.90 = 6,838.60/x
  3. Step 3: Cross multiply
    9,149.80x = 13,713.90 × 6,838.60
  4. Step 4: Simplify right side
    9,149.80x = 93,783,876.54
  5. Step 5: Solve for x
    x = 93,783,876.54/9,149.80
  6. Step 6: Final answer
    x = 10,249.83

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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.