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Finding the Fourth Proportional to 13,887.32, 19,163.32 and 7,837.22

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Solution

The fourth proportional to 13,887.32, 19,163.32 and 7,837.22 is: 10,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.32 : 19,163.32 = 7,837.22 : x
  2. Step 2: Convert to fraction form
    13,887.32/19,163.32 = 7,837.22/x
  3. Step 3: Cross multiply
    13,887.32x = 19,163.32 × 7,837.22
  4. Step 4: Simplify right side
    13,887.32x = 150,187,183.09
  5. Step 5: Solve for x
    x = 150,187,183.09/13,887.32
  6. Step 6: Final answer
    x = 10,814.70

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1.5x scale

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.