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Finding the Fourth Proportional to 7,189.88, 10,786.80 and 3,027.72

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Solution

The fourth proportional to 7,189.88, 10,786.80 and 3,027.72 is: 4,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.88 : 10,786.80 = 3,027.72 : x
  2. Step 2: Convert to fraction form
    7,189.88/10,786.80 = 3,027.72/x
  3. Step 3: Cross multiply
    7,189.88x = 10,786.80 × 3,027.72
  4. Step 4: Simplify right side
    7,189.88x = 32,659,410.10
  5. Step 5: Solve for x
    x = 32,659,410.10/7,189.88
  6. Step 6: Final answer
    x = 4,542.41

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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.