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Finding the Fourth Proportional to 2,874.62, 4,313.40 and 1,230.73

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Solution

The fourth proportional to 2,874.62, 4,313.40 and 1,230.73 is: 1,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.62 : 4,313.40 = 1,230.73 : x
  2. Step 2: Convert to fraction form
    2,874.62/4,313.40 = 1,230.73/x
  3. Step 3: Cross multiply
    2,874.62x = 4,313.40 × 1,230.73
  4. Step 4: Simplify right side
    2,874.62x = 5,308,630.78
  5. Step 5: Solve for x
    x = 5,308,630.78/2,874.62
  6. Step 6: Final answer
    x = 1,846.72

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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.