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Finding the Fourth Proportional to 7,468.57, 11,201.56 and 2,788.09

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Solution

The fourth proportional to 7,468.57, 11,201.56 and 2,788.09 is: 4,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.57 : 11,201.56 = 2,788.09 : x
  2. Step 2: Convert to fraction form
    7,468.57/11,201.56 = 2,788.09/x
  3. Step 3: Cross multiply
    7,468.57x = 11,201.56 × 2,788.09
  4. Step 4: Simplify right side
    7,468.57x = 31,230,922.45
  5. Step 5: Solve for x
    x = 31,230,922.45/7,468.57
  6. Step 6: Final answer
    x = 4,181.65

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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.