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Finding the Fourth Proportional to 7,787.75, 11,686.29 and 2,857.88

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Solution

The fourth proportional to 7,787.75, 11,686.29 and 2,857.88 is: 4,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.75 : 11,686.29 = 2,857.88 : x
  2. Step 2: Convert to fraction form
    7,787.75/11,686.29 = 2,857.88/x
  3. Step 3: Cross multiply
    7,787.75x = 11,686.29 × 2,857.88
  4. Step 4: Simplify right side
    7,787.75x = 33,398,032.96
  5. Step 5: Solve for x
    x = 33,398,032.96/7,787.75
  6. Step 6: Final answer
    x = 4,288.54

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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.