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Finding the Fourth Proportional to 19,872.44, 29,814.62 and 8,020.12

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Solution

The fourth proportional to 19,872.44, 29,814.62 and 8,020.12 is: 12,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.44 : 29,814.62 = 8,020.12 : x
  2. Step 2: Convert to fraction form
    19,872.44/29,814.62 = 8,020.12/x
  3. Step 3: Cross multiply
    19,872.44x = 29,814.62 × 8,020.12
  4. Step 4: Simplify right side
    19,872.44x = 239,116,830.15
  5. Step 5: Solve for x
    x = 239,116,830.15/19,872.44
  6. Step 6: Final answer
    x = 12,032.59

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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.