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Finding the Fourth Proportional to 2,815.73, 4,223.66 and 867.94

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Solution

The fourth proportional to 2,815.73, 4,223.66 and 867.94 is: 1,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.73 : 4,223.66 = 867.94 : x
  2. Step 2: Convert to fraction form
    2,815.73/4,223.66 = 867.94/x
  3. Step 3: Cross multiply
    2,815.73x = 4,223.66 × 867.94
  4. Step 4: Simplify right side
    2,815.73x = 3,665,873.44
  5. Step 5: Solve for x
    x = 3,665,873.44/2,815.73
  6. Step 6: Final answer
    x = 1,301.92

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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.