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Finding the Fourth Proportional to 13,650.96, 18,838.27 and 7,682.73

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Solution

The fourth proportional to 13,650.96, 18,838.27 and 7,682.73 is: 10,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.96 : 18,838.27 = 7,682.73 : x
  2. Step 2: Convert to fraction form
    13,650.96/18,838.27 = 7,682.73/x
  3. Step 3: Cross multiply
    13,650.96x = 18,838.27 × 7,682.73
  4. Step 4: Simplify right side
    13,650.96x = 144,729,342.08
  5. Step 5: Solve for x
    x = 144,729,342.08/13,650.96
  6. Step 6: Final answer
    x = 10,602.14

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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.