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Finding the Fourth Proportional to 8,311.65, 11,469.82 and 4,727.00

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Solution

The fourth proportional to 8,311.65, 11,469.82 and 4,727.00 is: 6,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.65 : 11,469.82 = 4,727.00 : x
  2. Step 2: Convert to fraction form
    8,311.65/11,469.82 = 4,727.00/x
  3. Step 3: Cross multiply
    8,311.65x = 11,469.82 × 4,727.00
  4. Step 4: Simplify right side
    8,311.65x = 54,217,856.00
  5. Step 5: Solve for x
    x = 54,217,856.00/8,311.65
  6. Step 6: Final answer
    x = 6,523.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.