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Finding the Fourth Proportional to 8,240.56, 12,360.78 and 2,084.56

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Solution

The fourth proportional to 8,240.56, 12,360.78 and 2,084.56 is: 3,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.56 : 12,360.78 = 2,084.56 : x
  2. Step 2: Convert to fraction form
    8,240.56/12,360.78 = 2,084.56/x
  3. Step 3: Cross multiply
    8,240.56x = 12,360.78 × 2,084.56
  4. Step 4: Simplify right side
    8,240.56x = 25,766,787.56
  5. Step 5: Solve for x
    x = 25,766,787.56/8,240.56
  6. Step 6: Final answer
    x = 3,126.82

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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.