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Finding the Fourth Proportional to 19,872, 29,787.84 and 8,191.68

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Solution

The fourth proportional to 19,872, 29,787.84 and 8,191.68 is: 12,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872 : 29,787.84 = 8,191.68 : x
  2. Step 2: Convert to fraction form
    19,872/29,787.84 = 8,191.68/x
  3. Step 3: Cross multiply
    19,872x = 29,787.84 × 8,191.68
  4. Step 4: Simplify right side
    19,872x = 244,012,453.17
  5. Step 5: Solve for x
    x = 244,012,453.17/19,872
  6. Step 6: Final answer
    x = 12,279.21

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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.