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Finding the Fourth Proportional to 3,271.42, 4,515.21 and 1,944.86

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Solution

The fourth proportional to 3,271.42, 4,515.21 and 1,944.86 is: 2,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.42 : 4,515.21 = 1,944.86 : x
  2. Step 2: Convert to fraction form
    3,271.42/4,515.21 = 1,944.86/x
  3. Step 3: Cross multiply
    3,271.42x = 4,515.21 × 1,944.86
  4. Step 4: Simplify right side
    3,271.42x = 8,781,451.32
  5. Step 5: Solve for x
    x = 8,781,451.32/3,271.42
  6. Step 6: Final answer
    x = 2,684.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.