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Finding the Fourth Proportional to 5,617.78, 8,419.83 and 3,974.80

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Solution

The fourth proportional to 5,617.78, 8,419.83 and 3,974.80 is: 5,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.78 : 8,419.83 = 3,974.80 : x
  2. Step 2: Convert to fraction form
    5,617.78/8,419.83 = 3,974.80/x
  3. Step 3: Cross multiply
    5,617.78x = 8,419.83 × 3,974.80
  4. Step 4: Simplify right side
    5,617.78x = 33,467,140.28
  5. Step 5: Solve for x
    x = 33,467,140.28/5,617.78
  6. Step 6: Final answer
    x = 5,957.36

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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.