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Finding the Fourth Proportional to 1,638.94, 2,260.74 and 1,049.26

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Solution

The fourth proportional to 1,638.94, 2,260.74 and 1,049.26 is: 1,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.94 : 2,260.74 = 1,049.26 : x
  2. Step 2: Convert to fraction form
    1,638.94/2,260.74 = 1,049.26/x
  3. Step 3: Cross multiply
    1,638.94x = 2,260.74 × 1,049.26
  4. Step 4: Simplify right side
    1,638.94x = 2,372,104.05
  5. Step 5: Solve for x
    x = 2,372,104.05/1,638.94
  6. Step 6: Final answer
    x = 1,447.34

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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.