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Finding the Fourth Proportional to 1,939.68, 2,676.68 and 1,055.49

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Solution

The fourth proportional to 1,939.68, 2,676.68 and 1,055.49 is: 1,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.68 : 2,676.68 = 1,055.49 : x
  2. Step 2: Convert to fraction form
    1,939.68/2,676.68 = 1,055.49/x
  3. Step 3: Cross multiply
    1,939.68x = 2,676.68 × 1,055.49
  4. Step 4: Simplify right side
    1,939.68x = 2,825,190.31
  5. Step 5: Solve for x
    x = 2,825,190.31/1,939.68
  6. Step 6: Final answer
    x = 1,456.52

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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.