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Finding the Fourth Proportional to 8,305.75, 12,458.67 and 2,149.75

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Solution

The fourth proportional to 8,305.75, 12,458.67 and 2,149.75 is: 3,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.75 : 12,458.67 = 2,149.75 : x
  2. Step 2: Convert to fraction form
    8,305.75/12,458.67 = 2,149.75/x
  3. Step 3: Cross multiply
    8,305.75x = 12,458.67 × 2,149.75
  4. Step 4: Simplify right side
    8,305.75x = 26,783,025.83
  5. Step 5: Solve for x
    x = 26,783,025.83/8,305.75
  6. Step 6: Final answer
    x = 3,224.64

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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.