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Finding the Fourth Proportional to 3,978.36, 5,973.87 and 3,283.50

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Solution

The fourth proportional to 3,978.36, 5,973.87 and 3,283.50 is: 4,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.36 : 5,973.87 = 3,283.50 : x
  2. Step 2: Convert to fraction form
    3,978.36/5,973.87 = 3,283.50/x
  3. Step 3: Cross multiply
    3,978.36x = 5,973.87 × 3,283.50
  4. Step 4: Simplify right side
    3,978.36x = 19,615,202.15
  5. Step 5: Solve for x
    x = 19,615,202.15/3,978.36
  6. Step 6: Final answer
    x = 4,930.47

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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.