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Finding the Fourth Proportional to 11,877.84, 17,787.60 and 8,169.66

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Solution

The fourth proportional to 11,877.84, 17,787.60 and 8,169.66 is: 12,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.84 : 17,787.60 = 8,169.66 : x
  2. Step 2: Convert to fraction form
    11,877.84/17,787.60 = 8,169.66/x
  3. Step 3: Cross multiply
    11,877.84x = 17,787.60 × 8,169.66
  4. Step 4: Simplify right side
    11,877.84x = 145,318,644.22
  5. Step 5: Solve for x
    x = 145,318,644.22/11,877.84
  6. Step 6: Final answer
    x = 12,234.43

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1.5x scale

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.