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Finding the Fourth Proportional to 8,128.53, 12,190.97 and 4,842.56

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Solution

The fourth proportional to 8,128.53, 12,190.97 and 4,842.56 is: 7,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.53 : 12,190.97 = 4,842.56 : x
  2. Step 2: Convert to fraction form
    8,128.53/12,190.97 = 4,842.56/x
  3. Step 3: Cross multiply
    8,128.53x = 12,190.97 × 4,842.56
  4. Step 4: Simplify right side
    8,128.53x = 59,035,503.68
  5. Step 5: Solve for x
    x = 59,035,503.68/8,128.53
  6. Step 6: Final answer
    x = 7,262.75

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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.