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Finding the Fourth Proportional to 2,726.78, 3,761.79 and 2,134.94

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Solution

The fourth proportional to 2,726.78, 3,761.79 and 2,134.94 is: 2,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.78 : 3,761.79 = 2,134.94 : x
  2. Step 2: Convert to fraction form
    2,726.78/3,761.79 = 2,134.94/x
  3. Step 3: Cross multiply
    2,726.78x = 3,761.79 × 2,134.94
  4. Step 4: Simplify right side
    2,726.78x = 8,031,195.94
  5. Step 5: Solve for x
    x = 8,031,195.94/2,726.78
  6. Step 6: Final answer
    x = 2,945.30

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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.