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Finding the Fourth Proportional to 13,183.74, 19,782.09 and 6,164.24

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Solution

The fourth proportional to 13,183.74, 19,782.09 and 6,164.24 is: 9,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.74 : 19,782.09 = 6,164.24 : x
  2. Step 2: Convert to fraction form
    13,183.74/19,782.09 = 6,164.24/x
  3. Step 3: Cross multiply
    13,183.74x = 19,782.09 × 6,164.24
  4. Step 4: Simplify right side
    13,183.74x = 121,941,451.55
  5. Step 5: Solve for x
    x = 121,941,451.55/13,183.74
  6. Step 6: Final answer
    x = 9,249.38

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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.