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Finding the Fourth Proportional to 5,978.92, 8,965.34 and 3,169.30

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Solution

The fourth proportional to 5,978.92, 8,965.34 and 3,169.30 is: 4,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.92 : 8,965.34 = 3,169.30 : x
  2. Step 2: Convert to fraction form
    5,978.92/8,965.34 = 3,169.30/x
  3. Step 3: Cross multiply
    5,978.92x = 8,965.34 × 3,169.30
  4. Step 4: Simplify right side
    5,978.92x = 28,413,836.22
  5. Step 5: Solve for x
    x = 28,413,836.22/5,978.92
  6. Step 6: Final answer
    x = 4,752.34

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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.