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Finding the Fourth Proportional to 3,930.80, 5,893.20 and 1,984.40

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Solution

The fourth proportional to 3,930.80, 5,893.20 and 1,984.40 is: 2,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.80 : 5,893.20 = 1,984.40 : x
  2. Step 2: Convert to fraction form
    3,930.80/5,893.20 = 1,984.40/x
  3. Step 3: Cross multiply
    3,930.80x = 5,893.20 × 1,984.40
  4. Step 4: Simplify right side
    3,930.80x = 11,694,466.08
  5. Step 5: Solve for x
    x = 11,694,466.08/3,930.80
  6. Step 6: Final answer
    x = 2,975.09

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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.