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Finding the Fourth Proportional to 9,170.50, 13,755.75 and 2,245

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Solution

The fourth proportional to 9,170.50, 13,755.75 and 2,245 is: 3,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.50 : 13,755.75 = 2,245 : x
  2. Step 2: Convert to fraction form
    9,170.50/13,755.75 = 2,245/x
  3. Step 3: Cross multiply
    9,170.50x = 13,755.75 × 2,245
  4. Step 4: Simplify right side
    9,170.50x = 30,881,658.75
  5. Step 5: Solve for x
    x = 30,881,658.75/9,170.50
  6. Step 6: Final answer
    x = 3,367.50

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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.