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Finding the Fourth Proportional to 8,150.57, 12,228.31 and 3,409.03

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Solution

The fourth proportional to 8,150.57, 12,228.31 and 3,409.03 is: 5,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.57 : 12,228.31 = 3,409.03 : x
  2. Step 2: Convert to fraction form
    8,150.57/12,228.31 = 3,409.03/x
  3. Step 3: Cross multiply
    8,150.57x = 12,228.31 × 3,409.03
  4. Step 4: Simplify right side
    8,150.57x = 41,686,675.64
  5. Step 5: Solve for x
    x = 41,686,675.64/8,150.57
  6. Step 6: Final answer
    x = 5,114.57

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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.