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Finding the Fourth Proportional to 3,978.28, 5,965.26 and 1,204.12

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Solution

The fourth proportional to 3,978.28, 5,965.26 and 1,204.12 is: 1,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.28 : 5,965.26 = 1,204.12 : x
  2. Step 2: Convert to fraction form
    3,978.28/5,965.26 = 1,204.12/x
  3. Step 3: Cross multiply
    3,978.28x = 5,965.26 × 1,204.12
  4. Step 4: Simplify right side
    3,978.28x = 7,182,888.87
  5. Step 5: Solve for x
    x = 7,182,888.87/3,978.28
  6. Step 6: Final answer
    x = 1,805.53

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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.