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Finding the Fourth Proportional to 17,754.36, 26,631.66 and 7,891

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Solution

The fourth proportional to 17,754.36, 26,631.66 and 7,891 is: 11,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.36 : 26,631.66 = 7,891 : x
  2. Step 2: Convert to fraction form
    17,754.36/26,631.66 = 7,891/x
  3. Step 3: Cross multiply
    17,754.36x = 26,631.66 × 7,891
  4. Step 4: Simplify right side
    17,754.36x = 210,150,429.06
  5. Step 5: Solve for x
    x = 210,150,429.06/17,754.36
  6. Step 6: Final answer
    x = 11,836.55

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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.