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Finding the Fourth Proportional to 2,974.62, 4,103.79 and 1,912.23

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Solution

The fourth proportional to 2,974.62, 4,103.79 and 1,912.23 is: 2,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.62 : 4,103.79 = 1,912.23 : x
  2. Step 2: Convert to fraction form
    2,974.62/4,103.79 = 1,912.23/x
  3. Step 3: Cross multiply
    2,974.62x = 4,103.79 × 1,912.23
  4. Step 4: Simplify right side
    2,974.62x = 7,847,390.35
  5. Step 5: Solve for x
    x = 7,847,390.35/2,974.62
  6. Step 6: Final answer
    x = 2,638.12

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1.5x scale

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.