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Finding the Fourth Proportional to 2,138.44, 2,951 and 1,194.20

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Solution

The fourth proportional to 2,138.44, 2,951 and 1,194.20 is: 1,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.44 : 2,951 = 1,194.20 : x
  2. Step 2: Convert to fraction form
    2,138.44/2,951 = 1,194.20/x
  3. Step 3: Cross multiply
    2,138.44x = 2,951 × 1,194.20
  4. Step 4: Simplify right side
    2,138.44x = 3,524,084.20
  5. Step 5: Solve for x
    x = 3,524,084.20/2,138.44
  6. Step 6: Final answer
    x = 1,647.97

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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.