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Finding the Fourth Proportional to 8,179.75, 11,289.27 and 4,821.49

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Solution

The fourth proportional to 8,179.75, 11,289.27 and 4,821.49 is: 6,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.75 : 11,289.27 = 4,821.49 : x
  2. Step 2: Convert to fraction form
    8,179.75/11,289.27 = 4,821.49/x
  3. Step 3: Cross multiply
    8,179.75x = 11,289.27 × 4,821.49
  4. Step 4: Simplify right side
    8,179.75x = 54,431,102.41
  5. Step 5: Solve for x
    x = 54,431,102.41/8,179.75
  6. Step 6: Final answer
    x = 6,654.37

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1.5x scale

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.