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Finding the Fourth Proportional to 7,400, 11,100 and 2,783

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Solution

The fourth proportional to 7,400, 11,100 and 2,783 is: 4,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400 : 11,100 = 2,783 : x
  2. Step 2: Convert to fraction form
    7,400/11,100 = 2,783/x
  3. Step 3: Cross multiply
    7,400x = 11,100 × 2,783
  4. Step 4: Simplify right side
    7,400x = 30,891,300
  5. Step 5: Solve for x
    x = 30,891,300/7,400
  6. Step 6: Final answer
    x = 4,174.50

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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.