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Finding the Fourth Proportional to 2,786.95, 4,155.87 and 2,761.97

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Solution

The fourth proportional to 2,786.95, 4,155.87 and 2,761.97 is: 4,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.95 : 4,155.87 = 2,761.97 : x
  2. Step 2: Convert to fraction form
    2,786.95/4,155.87 = 2,761.97/x
  3. Step 3: Cross multiply
    2,786.95x = 4,155.87 × 2,761.97
  4. Step 4: Simplify right side
    2,786.95x = 11,478,388.26
  5. Step 5: Solve for x
    x = 11,478,388.26/2,786.95
  6. Step 6: Final answer
    x = 4,118.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.