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Finding the Fourth Proportional to 6,664.80, 9,993.60 and 2,764.80

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Solution

The fourth proportional to 6,664.80, 9,993.60 and 2,764.80 is: 4,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.80 : 9,993.60 = 2,764.80 : x
  2. Step 2: Convert to fraction form
    6,664.80/9,993.60 = 2,764.80/x
  3. Step 3: Cross multiply
    6,664.80x = 9,993.60 × 2,764.80
  4. Step 4: Simplify right side
    6,664.80x = 27,630,305.28
  5. Step 5: Solve for x
    x = 27,630,305.28/6,664.80
  6. Step 6: Final answer
    x = 4,145.71

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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.