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Finding the Fourth Proportional to 13,163.31, 19,744.97 and 3,929.31

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Solution

The fourth proportional to 13,163.31, 19,744.97 and 3,929.31 is: 5,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.31 : 19,744.97 = 3,929.31 : x
  2. Step 2: Convert to fraction form
    13,163.31/19,744.97 = 3,929.31/x
  3. Step 3: Cross multiply
    13,163.31x = 19,744.97 × 3,929.31
  4. Step 4: Simplify right side
    13,163.31x = 77,584,157.43
  5. Step 5: Solve for x
    x = 77,584,157.43/13,163.31
  6. Step 6: Final answer
    x = 5,893.97

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1.5x scale

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.