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Finding the Fourth Proportional to 8,429, 12,644.24 and 2,882.64

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Solution

The fourth proportional to 8,429, 12,644.24 and 2,882.64 is: 4,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429 : 12,644.24 = 2,882.64 : x
  2. Step 2: Convert to fraction form
    8,429/12,644.24 = 2,882.64/x
  3. Step 3: Cross multiply
    8,429x = 12,644.24 × 2,882.64
  4. Step 4: Simplify right side
    8,429x = 36,448,791.99
  5. Step 5: Solve for x
    x = 36,448,791.99/8,429
  6. Step 6: Final answer
    x = 4,324.21

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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.