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Finding the Fourth Proportional to 2,726.85, 4,091.21 and 878.03

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Solution

The fourth proportional to 2,726.85, 4,091.21 and 878.03 is: 1,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.85 : 4,091.21 = 878.03 : x
  2. Step 2: Convert to fraction form
    2,726.85/4,091.21 = 878.03/x
  3. Step 3: Cross multiply
    2,726.85x = 4,091.21 × 878.03
  4. Step 4: Simplify right side
    2,726.85x = 3,592,180.27
  5. Step 5: Solve for x
    x = 3,592,180.27/2,726.85
  6. Step 6: Final answer
    x = 1,317.34

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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.