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Finding the Fourth Proportional to 1,906.38, 2,630.90 and 1,120.68

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Solution

The fourth proportional to 1,906.38, 2,630.90 and 1,120.68 is: 1,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.38 : 2,630.90 = 1,120.68 : x
  2. Step 2: Convert to fraction form
    1,906.38/2,630.90 = 1,120.68/x
  3. Step 3: Cross multiply
    1,906.38x = 2,630.90 × 1,120.68
  4. Step 4: Simplify right side
    1,906.38x = 2,948,378.25
  5. Step 5: Solve for x
    x = 2,948,378.25/1,906.38
  6. Step 6: Final answer
    x = 1,546.59

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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.