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Finding the Fourth Proportional to 8,181, 11,289.87 and 4,455

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Solution

The fourth proportional to 8,181, 11,289.87 and 4,455 is: 6,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 11,289.87 = 4,455 : x
  2. Step 2: Convert to fraction form
    8,181/11,289.87 = 4,455/x
  3. Step 3: Cross multiply
    8,181x = 11,289.87 × 4,455
  4. Step 4: Simplify right side
    8,181x = 50,296,370.85
  5. Step 5: Solve for x
    x = 50,296,370.85/8,181
  6. Step 6: Final answer
    x = 6,147.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.