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Finding the Fourth Proportional to 12,824.90, 19,255.03 and 8,866.43

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Solution

The fourth proportional to 12,824.90, 19,255.03 and 8,866.43 is: 13,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.90 : 19,255.03 = 8,866.43 : x
  2. Step 2: Convert to fraction form
    12,824.90/19,255.03 = 8,866.43/x
  3. Step 3: Cross multiply
    12,824.90x = 19,255.03 × 8,866.43
  4. Step 4: Simplify right side
    12,824.90x = 170,723,375.64
  5. Step 5: Solve for x
    x = 170,723,375.64/12,824.90
  6. Step 6: Final answer
    x = 13,311.87

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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.