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Finding the Fourth Proportional to 4,552.56, 6,824.85 and 3,778.98

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Solution

The fourth proportional to 4,552.56, 6,824.85 and 3,778.98 is: 5,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.56 : 6,824.85 = 3,778.98 : x
  2. Step 2: Convert to fraction form
    4,552.56/6,824.85 = 3,778.98/x
  3. Step 3: Cross multiply
    4,552.56x = 6,824.85 × 3,778.98
  4. Step 4: Simplify right side
    4,552.56x = 25,790,971.65
  5. Step 5: Solve for x
    x = 25,790,971.65/4,552.56
  6. Step 6: Final answer
    x = 5,665.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.