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Finding the Fourth Proportional to 1,879.45, 2,816.97 and 1,415.73

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Solution

The fourth proportional to 1,879.45, 2,816.97 and 1,415.73 is: 2,121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.45 : 2,816.97 = 1,415.73 : x
  2. Step 2: Convert to fraction form
    1,879.45/2,816.97 = 1,415.73/x
  3. Step 3: Cross multiply
    1,879.45x = 2,816.97 × 1,415.73
  4. Step 4: Simplify right side
    1,879.45x = 3,988,068.94
  5. Step 5: Solve for x
    x = 3,988,068.94/1,879.45
  6. Step 6: Final answer
    x = 2,121.93

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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.