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Finding the Fourth Proportional to 8,096.81, 12,142.94 and 5,130.83

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Solution

The fourth proportional to 8,096.81, 12,142.94 and 5,130.83 is: 7,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.81 : 12,142.94 = 5,130.83 : x
  2. Step 2: Convert to fraction form
    8,096.81/12,142.94 = 5,130.83/x
  3. Step 3: Cross multiply
    8,096.81x = 12,142.94 × 5,130.83
  4. Step 4: Simplify right side
    8,096.81x = 62,303,365.54
  5. Step 5: Solve for x
    x = 62,303,365.54/8,096.81
  6. Step 6: Final answer
    x = 7,694.81

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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.