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Finding the Fourth Proportional to 5,978.12, 8,250 and 3,289.44

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Solution

The fourth proportional to 5,978.12, 8,250 and 3,289.44 is: 4,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.12 : 8,250 = 3,289.44 : x
  2. Step 2: Convert to fraction form
    5,978.12/8,250 = 3,289.44/x
  3. Step 3: Cross multiply
    5,978.12x = 8,250 × 3,289.44
  4. Step 4: Simplify right side
    5,978.12x = 27,137,880
  5. Step 5: Solve for x
    x = 27,137,880/5,978.12
  6. Step 6: Final answer
    x = 4,539.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.