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Finding the Fourth Proportional to 3,078.96, 4,611.90 and 2,858.64

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Solution

The fourth proportional to 3,078.96, 4,611.90 and 2,858.64 is: 4,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.96 : 4,611.90 = 2,858.64 : x
  2. Step 2: Convert to fraction form
    3,078.96/4,611.90 = 2,858.64/x
  3. Step 3: Cross multiply
    3,078.96x = 4,611.90 × 2,858.64
  4. Step 4: Simplify right side
    3,078.96x = 13,183,761.82
  5. Step 5: Solve for x
    x = 13,183,761.82/3,078.96
  6. Step 6: Final answer
    x = 4,281.89

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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.