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Finding the Fourth Proportional to 8,323, 12,484.50 and 4,857.82

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Solution

The fourth proportional to 8,323, 12,484.50 and 4,857.82 is: 7,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323 : 12,484.50 = 4,857.82 : x
  2. Step 2: Convert to fraction form
    8,323/12,484.50 = 4,857.82/x
  3. Step 3: Cross multiply
    8,323x = 12,484.50 × 4,857.82
  4. Step 4: Simplify right side
    8,323x = 60,647,453.79
  5. Step 5: Solve for x
    x = 60,647,453.79/8,323
  6. Step 6: Final answer
    x = 7,286.73

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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.