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Finding the Fourth Proportional to 11,696.31, 16,141.14 and 6,391.46

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Solution

The fourth proportional to 11,696.31, 16,141.14 and 6,391.46 is: 8,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.31 : 16,141.14 = 6,391.46 : x
  2. Step 2: Convert to fraction form
    11,696.31/16,141.14 = 6,391.46/x
  3. Step 3: Cross multiply
    11,696.31x = 16,141.14 × 6,391.46
  4. Step 4: Simplify right side
    11,696.31x = 103,165,450.66
  5. Step 5: Solve for x
    x = 103,165,450.66/11,696.31
  6. Step 6: Final answer
    x = 8,820.34

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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.