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Finding the Fourth Proportional to 5,978.48, 8,250.49 and 3,289.81

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Solution

The fourth proportional to 5,978.48, 8,250.49 and 3,289.81 is: 4,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.48 : 8,250.49 = 3,289.81 : x
  2. Step 2: Convert to fraction form
    5,978.48/8,250.49 = 3,289.81/x
  3. Step 3: Cross multiply
    5,978.48x = 8,250.49 × 3,289.81
  4. Step 4: Simplify right side
    5,978.48x = 27,142,544.51
  5. Step 5: Solve for x
    x = 27,142,544.51/5,978.48
  6. Step 6: Final answer
    x = 4,540.04

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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.