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Finding the Fourth Proportional to 13,766.05, 18,996.63 and 7,797.87

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Solution

The fourth proportional to 13,766.05, 18,996.63 and 7,797.87 is: 10,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.05 : 18,996.63 = 7,797.87 : x
  2. Step 2: Convert to fraction form
    13,766.05/18,996.63 = 7,797.87/x
  3. Step 3: Cross multiply
    13,766.05x = 18,996.63 × 7,797.87
  4. Step 4: Simplify right side
    13,766.05x = 148,133,221.94
  5. Step 5: Solve for x
    x = 148,133,221.94/13,766.05
  6. Step 6: Final answer
    x = 10,760.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.