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Finding the Fourth Proportional to 11,696.96, 17,548 and 5,120.96

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Solution

The fourth proportional to 11,696.96, 17,548 and 5,120.96 is: 7,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.96 : 17,548 = 5,120.96 : x
  2. Step 2: Convert to fraction form
    11,696.96/17,548 = 5,120.96/x
  3. Step 3: Cross multiply
    11,696.96x = 17,548 × 5,120.96
  4. Step 4: Simplify right side
    11,696.96x = 89,862,606.08
  5. Step 5: Solve for x
    x = 89,862,606.08/11,696.96
  6. Step 6: Final answer
    x = 7,682.56

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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.