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Finding the Fourth Proportional to 11,696.76, 16,141.74 and 6,391.80

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Solution

The fourth proportional to 11,696.76, 16,141.74 and 6,391.80 is: 8,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.76 : 16,141.74 = 6,391.80 : x
  2. Step 2: Convert to fraction form
    11,696.76/16,141.74 = 6,391.80/x
  3. Step 3: Cross multiply
    11,696.76x = 16,141.74 × 6,391.80
  4. Step 4: Simplify right side
    11,696.76x = 103,174,773.73
  5. Step 5: Solve for x
    x = 103,174,773.73/11,696.76
  6. Step 6: Final answer
    x = 8,820.80

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1.5x scale

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.