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Finding the Fourth Proportional to 2,281.96, 3,422.94 and 914.92

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Solution

The fourth proportional to 2,281.96, 3,422.94 and 914.92 is: 1,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.96 : 3,422.94 = 914.92 : x
  2. Step 2: Convert to fraction form
    2,281.96/3,422.94 = 914.92/x
  3. Step 3: Cross multiply
    2,281.96x = 3,422.94 × 914.92
  4. Step 4: Simplify right side
    2,281.96x = 3,131,716.26
  5. Step 5: Solve for x
    x = 3,131,716.26/2,281.96
  6. Step 6: Final answer
    x = 1,372.38

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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.