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Finding the Fourth Proportional to 2,671.92, 3,998.16 and 1,976.88

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Solution

The fourth proportional to 2,671.92, 3,998.16 and 1,976.88 is: 2,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.92 : 3,998.16 = 1,976.88 : x
  2. Step 2: Convert to fraction form
    2,671.92/3,998.16 = 1,976.88/x
  3. Step 3: Cross multiply
    2,671.92x = 3,998.16 × 1,976.88
  4. Step 4: Simplify right side
    2,671.92x = 7,903,882.54
  5. Step 5: Solve for x
    x = 7,903,882.54/2,671.92
  6. Step 6: Final answer
    x = 2,958.13

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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.