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Finding the Fourth Proportional to 2,151.87, 3,229.41 and 835.83

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Solution

The fourth proportional to 2,151.87, 3,229.41 and 835.83 is: 1,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.87 : 3,229.41 = 835.83 : x
  2. Step 2: Convert to fraction form
    2,151.87/3,229.41 = 835.83/x
  3. Step 3: Cross multiply
    2,151.87x = 3,229.41 × 835.83
  4. Step 4: Simplify right side
    2,151.87x = 2,699,237.76
  5. Step 5: Solve for x
    x = 2,699,237.76/2,151.87
  6. Step 6: Final answer
    x = 1,254.37

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