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Finding the Fourth Proportional to 4,100.78, 6,150.92 and 1,327.22

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Solution

The fourth proportional to 4,100.78, 6,150.92 and 1,327.22 is: 1,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.78 : 6,150.92 = 1,327.22 : x
  2. Step 2: Convert to fraction form
    4,100.78/6,150.92 = 1,327.22/x
  3. Step 3: Cross multiply
    4,100.78x = 6,150.92 × 1,327.22
  4. Step 4: Simplify right side
    4,100.78x = 8,163,624.04
  5. Step 5: Solve for x
    x = 8,163,624.04/4,100.78
  6. Step 6: Final answer
    x = 1,990.75

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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.