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Finding the Fourth Proportional to 19,138.96, 28,709.96 and 5,991.24

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Solution

The fourth proportional to 19,138.96, 28,709.96 and 5,991.24 is: 8,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.96 : 28,709.96 = 5,991.24 : x
  2. Step 2: Convert to fraction form
    19,138.96/28,709.96 = 5,991.24/x
  3. Step 3: Cross multiply
    19,138.96x = 28,709.96 × 5,991.24
  4. Step 4: Simplify right side
    19,138.96x = 172,008,260.75
  5. Step 5: Solve for x
    x = 172,008,260.75/19,138.96
  6. Step 6: Final answer
    x = 8,987.34

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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.