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Finding the Fourth Proportional to 2,958.60, 4,438.26 and 1,227

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Solution

The fourth proportional to 2,958.60, 4,438.26 and 1,227 is: 1,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.60 : 4,438.26 = 1,227 : x
  2. Step 2: Convert to fraction form
    2,958.60/4,438.26 = 1,227/x
  3. Step 3: Cross multiply
    2,958.60x = 4,438.26 × 1,227
  4. Step 4: Simplify right side
    2,958.60x = 5,445,745.02
  5. Step 5: Solve for x
    x = 5,445,745.02/2,958.60
  6. Step 6: Final answer
    x = 1,840.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.