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Finding the Fourth Proportional to 2,726.83, 4,090.77 and 878.41

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Solution

The fourth proportional to 2,726.83, 4,090.77 and 878.41 is: 1,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.83 : 4,090.77 = 878.41 : x
  2. Step 2: Convert to fraction form
    2,726.83/4,090.77 = 878.41/x
  3. Step 3: Cross multiply
    2,726.83x = 4,090.77 × 878.41
  4. Step 4: Simplify right side
    2,726.83x = 3,593,373.28
  5. Step 5: Solve for x
    x = 3,593,373.28/2,726.83
  6. Step 6: Final answer
    x = 1,317.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.