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Finding the Fourth Proportional to 2,954.25, 4,431.96 and 874.29

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Solution

The fourth proportional to 2,954.25, 4,431.96 and 874.29 is: 1,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.25 : 4,431.96 = 874.29 : x
  2. Step 2: Convert to fraction form
    2,954.25/4,431.96 = 874.29/x
  3. Step 3: Cross multiply
    2,954.25x = 4,431.96 × 874.29
  4. Step 4: Simplify right side
    2,954.25x = 3,874,818.31
  5. Step 5: Solve for x
    x = 3,874,818.31/2,954.25
  6. Step 6: Final answer
    x = 1,311.61

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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.