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Finding the Fourth Proportional to 3,059.67, 4,589.50 and 1,209.84

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Solution

The fourth proportional to 3,059.67, 4,589.50 and 1,209.84 is: 1,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.67 : 4,589.50 = 1,209.84 : x
  2. Step 2: Convert to fraction form
    3,059.67/4,589.50 = 1,209.84/x
  3. Step 3: Cross multiply
    3,059.67x = 4,589.50 × 1,209.84
  4. Step 4: Simplify right side
    3,059.67x = 5,552,560.68
  5. Step 5: Solve for x
    x = 5,552,560.68/3,059.67
  6. Step 6: Final answer
    x = 1,814.76

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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.