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Finding the Fourth Proportional to 11,896.67, 17,812.15 and 8,966.09

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Solution

The fourth proportional to 11,896.67, 17,812.15 and 8,966.09 is: 13,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.67 : 17,812.15 = 8,966.09 : x
  2. Step 2: Convert to fraction form
    11,896.67/17,812.15 = 8,966.09/x
  3. Step 3: Cross multiply
    11,896.67x = 17,812.15 × 8,966.09
  4. Step 4: Simplify right side
    11,896.67x = 159,705,339.99
  5. Step 5: Solve for x
    x = 159,705,339.99/11,896.67
  6. Step 6: Final answer
    x = 13,424.37

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1.5x scale

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.