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Finding the Fourth Proportional to 3,319.88, 4,976.94 and 1,949

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Solution

The fourth proportional to 3,319.88, 4,976.94 and 1,949 is: 2,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.88 : 4,976.94 = 1,949 : x
  2. Step 2: Convert to fraction form
    3,319.88/4,976.94 = 1,949/x
  3. Step 3: Cross multiply
    3,319.88x = 4,976.94 × 1,949
  4. Step 4: Simplify right side
    3,319.88x = 9,700,056.06
  5. Step 5: Solve for x
    x = 9,700,056.06/3,319.88
  6. Step 6: Final answer
    x = 2,921.81

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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.