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Finding the Fourth Proportional to 8,025, 12,039.90 and 3,408.36

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Solution

The fourth proportional to 8,025, 12,039.90 and 3,408.36 is: 5,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 12,039.90 = 3,408.36 : x
  2. Step 2: Convert to fraction form
    8,025/12,039.90 = 3,408.36/x
  3. Step 3: Cross multiply
    8,025x = 12,039.90 × 3,408.36
  4. Step 4: Simplify right side
    8,025x = 41,036,313.56
  5. Step 5: Solve for x
    x = 41,036,313.56/8,025
  6. Step 6: Final answer
    x = 5,113.56

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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.