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Finding the Fourth Proportional to 19,864.44, 29,790 and 8,015.15

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Solution

The fourth proportional to 19,864.44, 29,790 and 8,015.15 is: 12,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.44 : 29,790 = 8,015.15 : x
  2. Step 2: Convert to fraction form
    19,864.44/29,790 = 8,015.15/x
  3. Step 3: Cross multiply
    19,864.44x = 29,790 × 8,015.15
  4. Step 4: Simplify right side
    19,864.44x = 238,771,392.98
  5. Step 5: Solve for x
    x = 238,771,392.98/19,864.44
  6. Step 6: Final answer
    x = 12,020.04

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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.