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Finding the Fourth Proportional to 1,879.73, 2,817.87 and 724.61

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Solution

The fourth proportional to 1,879.73, 2,817.87 and 724.61 is: 1,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.73 : 2,817.87 = 724.61 : x
  2. Step 2: Convert to fraction form
    1,879.73/2,817.87 = 724.61/x
  3. Step 3: Cross multiply
    1,879.73x = 2,817.87 × 724.61
  4. Step 4: Simplify right side
    1,879.73x = 2,041,840.88
  5. Step 5: Solve for x
    x = 2,041,840.88/1,879.73
  6. Step 6: Final answer
    x = 1,086.24

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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.