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Finding the Fourth Proportional to 19,244.82, 28,844.82 and 8,147.82

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Solution

The fourth proportional to 19,244.82, 28,844.82 and 8,147.82 is: 12,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244.82 : 28,844.82 = 8,147.82 : x
  2. Step 2: Convert to fraction form
    19,244.82/28,844.82 = 8,147.82/x
  3. Step 3: Cross multiply
    19,244.82x = 28,844.82 × 8,147.82
  4. Step 4: Simplify right side
    19,244.82x = 235,022,401.29
  5. Step 5: Solve for x
    x = 235,022,401.29/19,244.82
  6. Step 6: Final answer
    x = 12,212.24

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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.