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Finding the Fourth Proportional to 7,410.30, 11,119.98 and 3,902.82

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Solution

The fourth proportional to 7,410.30, 11,119.98 and 3,902.82 is: 5,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.30 : 11,119.98 = 3,902.82 : x
  2. Step 2: Convert to fraction form
    7,410.30/11,119.98 = 3,902.82/x
  3. Step 3: Cross multiply
    7,410.30x = 11,119.98 × 3,902.82
  4. Step 4: Simplify right side
    7,410.30x = 43,399,280.34
  5. Step 5: Solve for x
    x = 43,399,280.34/7,410.30
  6. Step 6: Final answer
    x = 5,856.62

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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.