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Finding the Fourth Proportional to 8,550.99, 12,821.31 and 4,164.03

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Solution

The fourth proportional to 8,550.99, 12,821.31 and 4,164.03 is: 6,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550.99 : 12,821.31 = 4,164.03 : x
  2. Step 2: Convert to fraction form
    8,550.99/12,821.31 = 4,164.03/x
  3. Step 3: Cross multiply
    8,550.99x = 12,821.31 × 4,164.03
  4. Step 4: Simplify right side
    8,550.99x = 53,388,319.48
  5. Step 5: Solve for x
    x = 53,388,319.48/8,550.99
  6. Step 6: Final answer
    x = 6,243.52

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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.