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Finding the Fourth Proportional to 11,801.66, 17,696.39 and 3,480.61

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Solution

The fourth proportional to 11,801.66, 17,696.39 and 3,480.61 is: 5,219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.66 : 17,696.39 = 3,480.61 : x
  2. Step 2: Convert to fraction form
    11,801.66/17,696.39 = 3,480.61/x
  3. Step 3: Cross multiply
    11,801.66x = 17,696.39 × 3,480.61
  4. Step 4: Simplify right side
    11,801.66x = 61,594,258.84
  5. Step 5: Solve for x
    x = 61,594,258.84/11,801.66
  6. Step 6: Final answer
    x = 5,219.12

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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.