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Finding the Fourth Proportional to 3,204.80, 4,809 and 1,560.68

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Solution

The fourth proportional to 3,204.80, 4,809 and 1,560.68 is: 2,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.80 : 4,809 = 1,560.68 : x
  2. Step 2: Convert to fraction form
    3,204.80/4,809 = 1,560.68/x
  3. Step 3: Cross multiply
    3,204.80x = 4,809 × 1,560.68
  4. Step 4: Simplify right side
    3,204.80x = 7,505,310.12
  5. Step 5: Solve for x
    x = 7,505,310.12/3,204.80
  6. Step 6: Final answer
    x = 2,341.90

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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.