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Finding the Fourth Proportional to 8,022.34, 12,028.50 and 3,086.10

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Solution

The fourth proportional to 8,022.34, 12,028.50 and 3,086.10 is: 4,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.34 : 12,028.50 = 3,086.10 : x
  2. Step 2: Convert to fraction form
    8,022.34/12,028.50 = 3,086.10/x
  3. Step 3: Cross multiply
    8,022.34x = 12,028.50 × 3,086.10
  4. Step 4: Simplify right side
    8,022.34x = 37,121,153.85
  5. Step 5: Solve for x
    x = 37,121,153.85/8,022.34
  6. Step 6: Final answer
    x = 4,627.22

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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.