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Finding the Fourth Proportional to 2,731, 3,768.86 and 1,489.08

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Solution

The fourth proportional to 2,731, 3,768.86 and 1,489.08 is: 2,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731 : 3,768.86 = 1,489.08 : x
  2. Step 2: Convert to fraction form
    2,731/3,768.86 = 1,489.08/x
  3. Step 3: Cross multiply
    2,731x = 3,768.86 × 1,489.08
  4. Step 4: Simplify right side
    2,731x = 5,612,134.05
  5. Step 5: Solve for x
    x = 5,612,134.05/2,731
  6. Step 6: Final answer
    x = 2,054.97

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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.