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Finding the Fourth Proportional to 2,147.12, 3,220.44 and 608

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Solution

The fourth proportional to 2,147.12, 3,220.44 and 608 is: 911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.12 : 3,220.44 = 608 : x
  2. Step 2: Convert to fraction form
    2,147.12/3,220.44 = 608/x
  3. Step 3: Cross multiply
    2,147.12x = 3,220.44 × 608
  4. Step 4: Simplify right side
    2,147.12x = 1,958,027.52
  5. Step 5: Solve for x
    x = 1,958,027.52/2,147.12
  6. Step 6: Final answer
    x = 911.93

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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.