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Finding the Fourth Proportional to 11,751.14, 17,622.36 and 8,239.36

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Solution

The fourth proportional to 11,751.14, 17,622.36 and 8,239.36 is: 12,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.14 : 17,622.36 = 8,239.36 : x
  2. Step 2: Convert to fraction form
    11,751.14/17,622.36 = 8,239.36/x
  3. Step 3: Cross multiply
    11,751.14x = 17,622.36 × 8,239.36
  4. Step 4: Simplify right side
    11,751.14x = 145,196,968.09
  5. Step 5: Solve for x
    x = 145,196,968.09/11,751.14
  6. Step 6: Final answer
    x = 12,355.99

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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.