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Finding the Fourth Proportional to 2,671.71, 4,007.95 and 822.33

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Solution

The fourth proportional to 2,671.71, 4,007.95 and 822.33 is: 1,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.71 : 4,007.95 = 822.33 : x
  2. Step 2: Convert to fraction form
    2,671.71/4,007.95 = 822.33/x
  3. Step 3: Cross multiply
    2,671.71x = 4,007.95 × 822.33
  4. Step 4: Simplify right side
    2,671.71x = 3,295,857.52
  5. Step 5: Solve for x
    x = 3,295,857.52/2,671.71
  6. Step 6: Final answer
    x = 1,233.61

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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.