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Finding the Fourth Proportional to 2,512.70, 3,768.03 and 1,279.67

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Solution

The fourth proportional to 2,512.70, 3,768.03 and 1,279.67 is: 1,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.70 : 3,768.03 = 1,279.67 : x
  2. Step 2: Convert to fraction form
    2,512.70/3,768.03 = 1,279.67/x
  3. Step 3: Cross multiply
    2,512.70x = 3,768.03 × 1,279.67
  4. Step 4: Simplify right side
    2,512.70x = 4,821,844.37
  5. Step 5: Solve for x
    x = 4,821,844.37/2,512.70
  6. Step 6: Final answer
    x = 1,918.99

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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.