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Finding the Fourth Proportional to 9,619, 13,274.26 and 5,203

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Solution

The fourth proportional to 9,619, 13,274.26 and 5,203 is: 7,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619 : 13,274.26 = 5,203 : x
  2. Step 2: Convert to fraction form
    9,619/13,274.26 = 5,203/x
  3. Step 3: Cross multiply
    9,619x = 13,274.26 × 5,203
  4. Step 4: Simplify right side
    9,619x = 69,065,974.78
  5. Step 5: Solve for x
    x = 69,065,974.78/9,619
  6. Step 6: Final answer
    x = 7,180.16

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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.