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Finding the Fourth Proportional to 2,271.94, 3,407.94 and 811.18

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Solution

The fourth proportional to 2,271.94, 3,407.94 and 811.18 is: 1,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.94 : 3,407.94 = 811.18 : x
  2. Step 2: Convert to fraction form
    2,271.94/3,407.94 = 811.18/x
  3. Step 3: Cross multiply
    2,271.94x = 3,407.94 × 811.18
  4. Step 4: Simplify right side
    2,271.94x = 2,764,452.77
  5. Step 5: Solve for x
    x = 2,764,452.77/2,271.94
  6. Step 6: Final answer
    x = 1,216.78

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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.