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Finding the Fourth Proportional to 8,940.78, 13,405.97 and 5,982.60

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Solution

The fourth proportional to 8,940.78, 13,405.97 and 5,982.60 is: 8,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.78 : 13,405.97 = 5,982.60 : x
  2. Step 2: Convert to fraction form
    8,940.78/13,405.97 = 5,982.60/x
  3. Step 3: Cross multiply
    8,940.78x = 13,405.97 × 5,982.60
  4. Step 4: Simplify right side
    8,940.78x = 80,202,621.35
  5. Step 5: Solve for x
    x = 80,202,621.35/8,940.78
  6. Step 6: Final answer
    x = 8,970.43

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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.