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Finding the Fourth Proportional to 3,978.03, 5,969.79 and 1,380.97

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Solution

The fourth proportional to 3,978.03, 5,969.79 and 1,380.97 is: 2,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.03 : 5,969.79 = 1,380.97 : x
  2. Step 2: Convert to fraction form
    3,978.03/5,969.79 = 1,380.97/x
  3. Step 3: Cross multiply
    3,978.03x = 5,969.79 × 1,380.97
  4. Step 4: Simplify right side
    3,978.03x = 8,244,088.26
  5. Step 5: Solve for x
    x = 8,244,088.26/3,978.03
  6. Step 6: Final answer
    x = 2,072.40

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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.