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Finding the Fourth Proportional to 21,107.87, 31,650.09 and 8,636.64

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Solution

The fourth proportional to 21,107.87, 31,650.09 and 8,636.64 is: 12,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.87 : 31,650.09 = 8,636.64 : x
  2. Step 2: Convert to fraction form
    21,107.87/31,650.09 = 8,636.64/x
  3. Step 3: Cross multiply
    21,107.87x = 31,650.09 × 8,636.64
  4. Step 4: Simplify right side
    21,107.87x = 273,350,433.30
  5. Step 5: Solve for x
    x = 273,350,433.30/21,107.87
  6. Step 6: Final answer
    x = 12,950.17

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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.