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Finding the Fourth Proportional to 9,171.50, 13,757.44 and 3,015.50

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Solution

The fourth proportional to 9,171.50, 13,757.44 and 3,015.50 is: 4,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.50 : 13,757.44 = 3,015.50 : x
  2. Step 2: Convert to fraction form
    9,171.50/13,757.44 = 3,015.50/x
  3. Step 3: Cross multiply
    9,171.50x = 13,757.44 × 3,015.50
  4. Step 4: Simplify right side
    9,171.50x = 41,485,560.32
  5. Step 5: Solve for x
    x = 41,485,560.32/9,171.50
  6. Step 6: Final answer
    x = 4,523.31

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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.