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Finding the Fourth Proportional to 8,212.75, 11,336.48 and 4,900.75

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Solution

The fourth proportional to 8,212.75, 11,336.48 and 4,900.75 is: 6,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.75 : 11,336.48 = 4,900.75 : x
  2. Step 2: Convert to fraction form
    8,212.75/11,336.48 = 4,900.75/x
  3. Step 3: Cross multiply
    8,212.75x = 11,336.48 × 4,900.75
  4. Step 4: Simplify right side
    8,212.75x = 55,557,254.36
  5. Step 5: Solve for x
    x = 55,557,254.36/8,212.75
  6. Step 6: Final answer
    x = 6,764.76

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