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Finding the Fourth Proportional to 3,182.46, 4,775.85 and 1,644.54

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Solution

The fourth proportional to 3,182.46, 4,775.85 and 1,644.54 is: 2,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.46 : 4,775.85 = 1,644.54 : x
  2. Step 2: Convert to fraction form
    3,182.46/4,775.85 = 1,644.54/x
  3. Step 3: Cross multiply
    3,182.46x = 4,775.85 × 1,644.54
  4. Step 4: Simplify right side
    3,182.46x = 7,854,076.36
  5. Step 5: Solve for x
    x = 7,854,076.36/3,182.46
  6. Step 6: Final answer
    x = 2,467.93

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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.