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Finding the Fourth Proportional to 9,619.36, 14,431 and 3,696

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Solution

The fourth proportional to 9,619.36, 14,431 and 3,696 is: 5,544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.36 : 14,431 = 3,696 : x
  2. Step 2: Convert to fraction form
    9,619.36/14,431 = 3,696/x
  3. Step 3: Cross multiply
    9,619.36x = 14,431 × 3,696
  4. Step 4: Simplify right side
    9,619.36x = 53,336,976
  5. Step 5: Solve for x
    x = 53,336,976/9,619.36
  6. Step 6: Final answer
    x = 5,544.75

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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.