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Finding the Fourth Proportional to 11,636, 16,059.12 and 6,668

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Solution

The fourth proportional to 11,636, 16,059.12 and 6,668 is: 9,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636 : 16,059.12 = 6,668 : x
  2. Step 2: Convert to fraction form
    11,636/16,059.12 = 6,668/x
  3. Step 3: Cross multiply
    11,636x = 16,059.12 × 6,668
  4. Step 4: Simplify right side
    11,636x = 107,082,212.16
  5. Step 5: Solve for x
    x = 107,082,212.16/11,636
  6. Step 6: Final answer
    x = 9,202.67

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Why These Related Problems?

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