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Finding the Fourth Proportional to 7,787.82, 11,685.54 and 3,404.64

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Solution

The fourth proportional to 7,787.82, 11,685.54 and 3,404.64 is: 5,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.82 : 11,685.54 = 3,404.64 : x
  2. Step 2: Convert to fraction form
    7,787.82/11,685.54 = 3,404.64/x
  3. Step 3: Cross multiply
    7,787.82x = 11,685.54 × 3,404.64
  4. Step 4: Simplify right side
    7,787.82x = 39,785,056.91
  5. Step 5: Solve for x
    x = 39,785,056.91/7,787.82
  6. Step 6: Final answer
    x = 5,108.63

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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.