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Finding the Fourth Proportional to 1,976.81, 2,964.11 and 1,244.81

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Solution

The fourth proportional to 1,976.81, 2,964.11 and 1,244.81 is: 1,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.81 : 2,964.11 = 1,244.81 : x
  2. Step 2: Convert to fraction form
    1,976.81/2,964.11 = 1,244.81/x
  3. Step 3: Cross multiply
    1,976.81x = 2,964.11 × 1,244.81
  4. Step 4: Simplify right side
    1,976.81x = 3,689,754.96
  5. Step 5: Solve for x
    x = 3,689,754.96/1,976.81
  6. Step 6: Final answer
    x = 1,866.52

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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.