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Finding the Fourth Proportional to 3,034.87, 4,551.80 and 843.82

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Solution

The fourth proportional to 3,034.87, 4,551.80 and 843.82 is: 1,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.87 : 4,551.80 = 843.82 : x
  2. Step 2: Convert to fraction form
    3,034.87/4,551.80 = 843.82/x
  3. Step 3: Cross multiply
    3,034.87x = 4,551.80 × 843.82
  4. Step 4: Simplify right side
    3,034.87x = 3,840,899.88
  5. Step 5: Solve for x
    x = 3,840,899.88/3,034.87
  6. Step 6: Final answer
    x = 1,265.59

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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.