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Finding the Fourth Proportional to 1,974.28, 2,972.36 and 1,744.48

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Solution

The fourth proportional to 1,974.28, 2,972.36 and 1,744.48 is: 2,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.28 : 2,972.36 = 1,744.48 : x
  2. Step 2: Convert to fraction form
    1,974.28/2,972.36 = 1,744.48/x
  3. Step 3: Cross multiply
    1,974.28x = 2,972.36 × 1,744.48
  4. Step 4: Simplify right side
    1,974.28x = 5,185,222.57
  5. Step 5: Solve for x
    x = 5,185,222.57/1,974.28
  6. Step 6: Final answer
    x = 2,626.39

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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.