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Finding the Fourth Proportional to 11,696.66, 16,141.40 and 6,319.10

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Solution

The fourth proportional to 11,696.66, 16,141.40 and 6,319.10 is: 8,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.66 : 16,141.40 = 6,319.10 : x
  2. Step 2: Convert to fraction form
    11,696.66/16,141.40 = 6,319.10/x
  3. Step 3: Cross multiply
    11,696.66x = 16,141.40 × 6,319.10
  4. Step 4: Simplify right side
    11,696.66x = 101,999,120.74
  5. Step 5: Solve for x
    x = 101,999,120.74/11,696.66
  6. Step 6: Final answer
    x = 8,720.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.