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Finding the Fourth Proportional to 7,462.02, 11,188.68 and 3,074.22

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Solution

The fourth proportional to 7,462.02, 11,188.68 and 3,074.22 is: 4,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.02 : 11,188.68 = 3,074.22 : x
  2. Step 2: Convert to fraction form
    7,462.02/11,188.68 = 3,074.22/x
  3. Step 3: Cross multiply
    7,462.02x = 11,188.68 × 3,074.22
  4. Step 4: Simplify right side
    7,462.02x = 34,396,463.83
  5. Step 5: Solve for x
    x = 34,396,463.83/7,462.02
  6. Step 6: Final answer
    x = 4,609.54

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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.