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Finding the Fourth Proportional to 19,759.64, 29,644.25 and 8,072.87

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Solution

The fourth proportional to 19,759.64, 29,644.25 and 8,072.87 is: 12,111.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,759.64 : 29,644.25 = 8,072.87 : x
  2. Step 2: Convert to fraction form
    19,759.64/29,644.25 = 8,072.87/x
  3. Step 3: Cross multiply
    19,759.64x = 29,644.25 × 8,072.87
  4. Step 4: Simplify right side
    19,759.64x = 239,313,987.91
  5. Step 5: Solve for x
    x = 239,313,987.91/19,759.64
  6. Step 6: Final answer
    x = 12,111.26

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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.