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Finding the Fourth Proportional to 8,172.80, 12,243.38 and 4,787.41

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Solution

The fourth proportional to 8,172.80, 12,243.38 and 4,787.41 is: 7,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.80 : 12,243.38 = 4,787.41 : x
  2. Step 2: Convert to fraction form
    8,172.80/12,243.38 = 4,787.41/x
  3. Step 3: Cross multiply
    8,172.80x = 12,243.38 × 4,787.41
  4. Step 4: Simplify right side
    8,172.80x = 58,614,096.16
  5. Step 5: Solve for x
    x = 58,614,096.16/8,172.80
  6. Step 6: Final answer
    x = 7,171.85

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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.