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Finding the Fourth Proportional to 5,978.47, 8,250.49 and 3,289.80

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Solution

The fourth proportional to 5,978.47, 8,250.49 and 3,289.80 is: 4,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.47 : 8,250.49 = 3,289.80 : x
  2. Step 2: Convert to fraction form
    5,978.47/8,250.49 = 3,289.80/x
  3. Step 3: Cross multiply
    5,978.47x = 8,250.49 × 3,289.80
  4. Step 4: Simplify right side
    5,978.47x = 27,142,462.00
  5. Step 5: Solve for x
    x = 27,142,462.00/5,978.47
  6. Step 6: Final answer
    x = 4,540.03

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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.