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Finding the Fourth Proportional to 5,384.60, 8,078.96 and 2,099.98

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Solution

The fourth proportional to 5,384.60, 8,078.96 and 2,099.98 is: 3,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.60 : 8,078.96 = 2,099.98 : x
  2. Step 2: Convert to fraction form
    5,384.60/8,078.96 = 2,099.98/x
  3. Step 3: Cross multiply
    5,384.60x = 8,078.96 × 2,099.98
  4. Step 4: Simplify right side
    5,384.60x = 16,965,654.42
  5. Step 5: Solve for x
    x = 16,965,654.42/5,384.60
  6. Step 6: Final answer
    x = 3,150.77

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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.