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Finding the Fourth Proportional to 11,698.27, 16,138.43 and 6,979.81

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Solution

The fourth proportional to 11,698.27, 16,138.43 and 6,979.81 is: 9,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.27 : 16,138.43 = 6,979.81 : x
  2. Step 2: Convert to fraction form
    11,698.27/16,138.43 = 6,979.81/x
  3. Step 3: Cross multiply
    11,698.27x = 16,138.43 × 6,979.81
  4. Step 4: Simplify right side
    11,698.27x = 112,643,175.10
  5. Step 5: Solve for x
    x = 112,643,175.10/11,698.27
  6. Step 6: Final answer
    x = 9,629.05

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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.