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Finding the Fourth Proportional to 2,671.11, 4,007.30 and 822.38

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Solution

The fourth proportional to 2,671.11, 4,007.30 and 822.38 is: 1,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.11 : 4,007.30 = 822.38 : x
  2. Step 2: Convert to fraction form
    2,671.11/4,007.30 = 822.38/x
  3. Step 3: Cross multiply
    2,671.11x = 4,007.30 × 822.38
  4. Step 4: Simplify right side
    2,671.11x = 3,295,499.23
  5. Step 5: Solve for x
    x = 3,295,499.23/2,671.11
  6. Step 6: Final answer
    x = 1,233.76

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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.