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Finding the Fourth Proportional to 11,013, 16,516.26 and 3,219.96

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Solution

The fourth proportional to 11,013, 16,516.26 and 3,219.96 is: 4,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013 : 16,516.26 = 3,219.96 : x
  2. Step 2: Convert to fraction form
    11,013/16,516.26 = 3,219.96/x
  3. Step 3: Cross multiply
    11,013x = 16,516.26 × 3,219.96
  4. Step 4: Simplify right side
    11,013x = 53,181,696.55
  5. Step 5: Solve for x
    x = 53,181,696.55/11,013
  6. Step 6: Final answer
    x = 4,828.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.