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Finding the Fourth Proportional to 3,489, 5,231.94 and 2,511

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Solution

The fourth proportional to 3,489, 5,231.94 and 2,511 is: 3,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 5,231.94 = 2,511 : x
  2. Step 2: Convert to fraction form
    3,489/5,231.94 = 2,511/x
  3. Step 3: Cross multiply
    3,489x = 5,231.94 × 2,511
  4. Step 4: Simplify right side
    3,489x = 13,137,401.34
  5. Step 5: Solve for x
    x = 13,137,401.34/3,489
  6. Step 6: Final answer
    x = 3,765.38

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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.