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Finding the Fourth Proportional to 1,902.73, 2,853.91 and 1,290.37

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Solution

The fourth proportional to 1,902.73, 2,853.91 and 1,290.37 is: 1,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.73 : 2,853.91 = 1,290.37 : x
  2. Step 2: Convert to fraction form
    1,902.73/2,853.91 = 1,290.37/x
  3. Step 3: Cross multiply
    1,902.73x = 2,853.91 × 1,290.37
  4. Step 4: Simplify right side
    1,902.73x = 3,682,599.85
  5. Step 5: Solve for x
    x = 3,682,599.85/1,902.73
  6. Step 6: Final answer
    x = 1,935.43

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1.5x scale

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.