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Finding the Fourth Proportional to 2,726.55, 3,761.49 and 1,678

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Solution

The fourth proportional to 2,726.55, 3,761.49 and 1,678 is: 2,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.55 : 3,761.49 = 1,678 : x
  2. Step 2: Convert to fraction form
    2,726.55/3,761.49 = 1,678/x
  3. Step 3: Cross multiply
    2,726.55x = 3,761.49 × 1,678
  4. Step 4: Simplify right side
    2,726.55x = 6,311,780.22
  5. Step 5: Solve for x
    x = 6,311,780.22/2,726.55
  6. Step 6: Final answer
    x = 2,314.93

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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.