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Finding the Fourth Proportional to 3,251, 4,876.74 and 1,059.56

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Solution

The fourth proportional to 3,251, 4,876.74 and 1,059.56 is: 1,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251 : 4,876.74 = 1,059.56 : x
  2. Step 2: Convert to fraction form
    3,251/4,876.74 = 1,059.56/x
  3. Step 3: Cross multiply
    3,251x = 4,876.74 × 1,059.56
  4. Step 4: Simplify right side
    3,251x = 5,167,198.63
  5. Step 5: Solve for x
    x = 5,167,198.63/3,251
  6. Step 6: Final answer
    x = 1,589.42

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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.