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Finding the Fourth Proportional to 2,874.54, 4,310.90 and 1,230.65

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Solution

The fourth proportional to 2,874.54, 4,310.90 and 1,230.65 is: 1,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.54 : 4,310.90 = 1,230.65 : x
  2. Step 2: Convert to fraction form
    2,874.54/4,310.90 = 1,230.65/x
  3. Step 3: Cross multiply
    2,874.54x = 4,310.90 × 1,230.65
  4. Step 4: Simplify right side
    2,874.54x = 5,305,209.09
  5. Step 5: Solve for x
    x = 5,305,209.09/2,874.54
  6. Step 6: Final answer
    x = 1,845.59

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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.