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Finding the Fourth Proportional to 11,896.70, 17,845.05 and 7,288.70

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Solution

The fourth proportional to 11,896.70, 17,845.05 and 7,288.70 is: 10,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.70 : 17,845.05 = 7,288.70 : x
  2. Step 2: Convert to fraction form
    11,896.70/17,845.05 = 7,288.70/x
  3. Step 3: Cross multiply
    11,896.70x = 17,845.05 × 7,288.70
  4. Step 4: Simplify right side
    11,896.70x = 130,067,215.94
  5. Step 5: Solve for x
    x = 130,067,215.94/11,896.70
  6. Step 6: Final answer
    x = 10,933.05

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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.