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Finding the Fourth Proportional to 3,902.88, 5,857.20 and 3,142.56

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Solution

The fourth proportional to 3,902.88, 5,857.20 and 3,142.56 is: 4,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.88 : 5,857.20 = 3,142.56 : x
  2. Step 2: Convert to fraction form
    3,902.88/5,857.20 = 3,142.56/x
  3. Step 3: Cross multiply
    3,902.88x = 5,857.20 × 3,142.56
  4. Step 4: Simplify right side
    3,902.88x = 18,406,602.43
  5. Step 5: Solve for x
    x = 18,406,602.43/3,902.88
  6. Step 6: Final answer
    x = 4,716.16

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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.