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Finding the Fourth Proportional to 3,199.70, 4,796.70 and 1,251.45

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Solution

The fourth proportional to 3,199.70, 4,796.70 and 1,251.45 is: 1,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.70 : 4,796.70 = 1,251.45 : x
  2. Step 2: Convert to fraction form
    3,199.70/4,796.70 = 1,251.45/x
  3. Step 3: Cross multiply
    3,199.70x = 4,796.70 × 1,251.45
  4. Step 4: Simplify right side
    3,199.70x = 6,002,830.22
  5. Step 5: Solve for x
    x = 6,002,830.22/3,199.70
  6. Step 6: Final answer
    x = 1,876.06

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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.