Home / 1,972.28-2,722.31-1,382.96

Finding the Fourth Proportional to 1,972.28, 2,722.31 and 1,382.96

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Solution

The fourth proportional to 1,972.28, 2,722.31 and 1,382.96 is: 1,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.28 : 2,722.31 = 1,382.96 : x
  2. Step 2: Convert to fraction form
    1,972.28/2,722.31 = 1,382.96/x
  3. Step 3: Cross multiply
    1,972.28x = 2,722.31 × 1,382.96
  4. Step 4: Simplify right side
    1,972.28x = 3,764,825.31
  5. Step 5: Solve for x
    x = 3,764,825.31/1,972.28
  6. Step 6: Final answer
    x = 1,908.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.