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Finding the Fourth Proportional to 12,791.92, 19,184.06 and 5,767.88

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Solution

The fourth proportional to 12,791.92, 19,184.06 and 5,767.88 is: 8,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.92 : 19,184.06 = 5,767.88 : x
  2. Step 2: Convert to fraction form
    12,791.92/19,184.06 = 5,767.88/x
  3. Step 3: Cross multiply
    12,791.92x = 19,184.06 × 5,767.88
  4. Step 4: Simplify right side
    12,791.92x = 110,651,355.99
  5. Step 5: Solve for x
    x = 110,651,355.99/12,791.92
  6. Step 6: Final answer
    x = 8,650.10

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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.