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Finding the Fourth Proportional to 11,696.64, 16,138.76 and 6,980

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Solution

The fourth proportional to 11,696.64, 16,138.76 and 6,980 is: 9,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.64 : 16,138.76 = 6,980 : x
  2. Step 2: Convert to fraction form
    11,696.64/16,138.76 = 6,980/x
  3. Step 3: Cross multiply
    11,696.64x = 16,138.76 × 6,980
  4. Step 4: Simplify right side
    11,696.64x = 112,648,544.80
  5. Step 5: Solve for x
    x = 112,648,544.80/11,696.64
  6. Step 6: Final answer
    x = 9,630.85

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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.