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Finding the Fourth Proportional to 3,000.10, 4,500.60 and 809

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Solution

The fourth proportional to 3,000.10, 4,500.60 and 809 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.10 : 4,500.60 = 809 : x
  2. Step 2: Convert to fraction form
    3,000.10/4,500.60 = 809/x
  3. Step 3: Cross multiply
    3,000.10x = 4,500.60 × 809
  4. Step 4: Simplify right side
    3,000.10x = 3,640,985.40
  5. Step 5: Solve for x
    x = 3,640,985.40/3,000.10
  6. Step 6: Final answer
    x = 1,213.62

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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.