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Finding the Fourth Proportional to 11,891, 16,406.76 and 7,043.29

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Solution

The fourth proportional to 11,891, 16,406.76 and 7,043.29 is: 9,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891 : 16,406.76 = 7,043.29 : x
  2. Step 2: Convert to fraction form
    11,891/16,406.76 = 7,043.29/x
  3. Step 3: Cross multiply
    11,891x = 16,406.76 × 7,043.29
  4. Step 4: Simplify right side
    11,891x = 115,557,568.64
  5. Step 5: Solve for x
    x = 115,557,568.64/11,891
  6. Step 6: Final answer
    x = 9,718.07

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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.