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Finding the Fourth Proportional to 2,671.67, 4,007.53 and 822.80

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Solution

The fourth proportional to 2,671.67, 4,007.53 and 822.80 is: 1,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.67 : 4,007.53 = 822.80 : x
  2. Step 2: Convert to fraction form
    2,671.67/4,007.53 = 822.80/x
  3. Step 3: Cross multiply
    2,671.67x = 4,007.53 × 822.80
  4. Step 4: Simplify right side
    2,671.67x = 3,297,391.57
  5. Step 5: Solve for x
    x = 3,297,391.57/2,671.67
  6. Step 6: Final answer
    x = 1,234.21

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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.