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Finding the Fourth Proportional to 3,205.46, 4,807.41 and 1,644.65

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Solution

The fourth proportional to 3,205.46, 4,807.41 and 1,644.65 is: 2,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.46 : 4,807.41 = 1,644.65 : x
  2. Step 2: Convert to fraction form
    3,205.46/4,807.41 = 1,644.65/x
  3. Step 3: Cross multiply
    3,205.46x = 4,807.41 × 1,644.65
  4. Step 4: Simplify right side
    3,205.46x = 7,906,482.82
  5. Step 5: Solve for x
    x = 7,906,482.82/3,205.46
  6. Step 6: Final answer
    x = 2,466.57

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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.