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Finding the Fourth Proportional to 8,787.75, 13,167.03 and 6,185.22

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Solution

The fourth proportional to 8,787.75, 13,167.03 and 6,185.22 is: 9,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,787.75 : 13,167.03 = 6,185.22 : x
  2. Step 2: Convert to fraction form
    8,787.75/13,167.03 = 6,185.22/x
  3. Step 3: Cross multiply
    8,787.75x = 13,167.03 × 6,185.22
  4. Step 4: Simplify right side
    8,787.75x = 81,440,977.30
  5. Step 5: Solve for x
    x = 81,440,977.30/8,787.75
  6. Step 6: Final answer
    x = 9,267.56

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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.