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Finding the Fourth Proportional to 3,190.96, 4,782.12 and 1,892.08

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Solution

The fourth proportional to 3,190.96, 4,782.12 and 1,892.08 is: 2,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.96 : 4,782.12 = 1,892.08 : x
  2. Step 2: Convert to fraction form
    3,190.96/4,782.12 = 1,892.08/x
  3. Step 3: Cross multiply
    3,190.96x = 4,782.12 × 1,892.08
  4. Step 4: Simplify right side
    3,190.96x = 9,048,153.61
  5. Step 5: Solve for x
    x = 9,048,153.61/3,190.96
  6. Step 6: Final answer
    x = 2,835.56

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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.