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Finding the Fourth Proportional to 21,224.85, 31,843.64 and 8,568.10

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Solution

The fourth proportional to 21,224.85, 31,843.64 and 8,568.10 is: 12,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.85 : 31,843.64 = 8,568.10 : x
  2. Step 2: Convert to fraction form
    21,224.85/31,843.64 = 8,568.10/x
  3. Step 3: Cross multiply
    21,224.85x = 31,843.64 × 8,568.10
  4. Step 4: Simplify right side
    21,224.85x = 272,839,491.88
  5. Step 5: Solve for x
    x = 272,839,491.88/21,224.85
  6. Step 6: Final answer
    x = 12,854.72

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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.