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Finding the Fourth Proportional to 8,305.75, 12,464.09 and 3,923.65

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Solution

The fourth proportional to 8,305.75, 12,464.09 and 3,923.65 is: 5,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.75 : 12,464.09 = 3,923.65 : x
  2. Step 2: Convert to fraction form
    8,305.75/12,464.09 = 3,923.65/x
  3. Step 3: Cross multiply
    8,305.75x = 12,464.09 × 3,923.65
  4. Step 4: Simplify right side
    8,305.75x = 48,904,705.38
  5. Step 5: Solve for x
    x = 48,904,705.38/8,305.75
  6. Step 6: Final answer
    x = 5,888.06

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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.