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Finding the Fourth Proportional to 3,978.76, 5,968.14 and 1,381.69

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Solution

The fourth proportional to 3,978.76, 5,968.14 and 1,381.69 is: 2,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.76 : 5,968.14 = 1,381.69 : x
  2. Step 2: Convert to fraction form
    3,978.76/5,968.14 = 1,381.69/x
  3. Step 3: Cross multiply
    3,978.76x = 5,968.14 × 1,381.69
  4. Step 4: Simplify right side
    3,978.76x = 8,246,119.36
  5. Step 5: Solve for x
    x = 8,246,119.36/3,978.76
  6. Step 6: Final answer
    x = 2,072.54

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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.