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Finding the Fourth Proportional to 1,976.92, 2,980.39 and 1,871.08

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Solution

The fourth proportional to 1,976.92, 2,980.39 and 1,871.08 is: 2,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.92 : 2,980.39 = 1,871.08 : x
  2. Step 2: Convert to fraction form
    1,976.92/2,980.39 = 1,871.08/x
  3. Step 3: Cross multiply
    1,976.92x = 2,980.39 × 1,871.08
  4. Step 4: Simplify right side
    1,976.92x = 5,576,548.12
  5. Step 5: Solve for x
    x = 5,576,548.12/1,976.92
  6. Step 6: Final answer
    x = 2,820.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.