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Finding the Fourth Proportional to 13,516.57, 18,652.06 and 7,850.92

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Solution

The fourth proportional to 13,516.57, 18,652.06 and 7,850.92 is: 10,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.57 : 18,652.06 = 7,850.92 : x
  2. Step 2: Convert to fraction form
    13,516.57/18,652.06 = 7,850.92/x
  3. Step 3: Cross multiply
    13,516.57x = 18,652.06 × 7,850.92
  4. Step 4: Simplify right side
    13,516.57x = 146,435,830.90
  5. Step 5: Solve for x
    x = 146,435,830.90/13,516.57
  6. Step 6: Final answer
    x = 10,833.80

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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.