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Finding the Fourth Proportional to 6,427.80, 9,622.80 and 4,791.60

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Solution

The fourth proportional to 6,427.80, 9,622.80 and 4,791.60 is: 7,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.80 : 9,622.80 = 4,791.60 : x
  2. Step 2: Convert to fraction form
    6,427.80/9,622.80 = 4,791.60/x
  3. Step 3: Cross multiply
    6,427.80x = 9,622.80 × 4,791.60
  4. Step 4: Simplify right side
    6,427.80x = 46,108,608.48
  5. Step 5: Solve for x
    x = 46,108,608.48/6,427.80
  6. Step 6: Final answer
    x = 7,173.31

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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.