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Finding the Fourth Proportional to 11,896.21, 16,414 and 7,115.23

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Solution

The fourth proportional to 11,896.21, 16,414 and 7,115.23 is: 9,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.21 : 16,414 = 7,115.23 : x
  2. Step 2: Convert to fraction form
    11,896.21/16,414 = 7,115.23/x
  3. Step 3: Cross multiply
    11,896.21x = 16,414 × 7,115.23
  4. Step 4: Simplify right side
    11,896.21x = 116,789,385.22
  5. Step 5: Solve for x
    x = 116,789,385.22/11,896.21
  6. Step 6: Final answer
    x = 9,817.36

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1.5x scale

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.