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Finding the Fourth Proportional to 2,836.83, 4,255.50 and 756.83

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Solution

The fourth proportional to 2,836.83, 4,255.50 and 756.83 is: 1,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.83 : 4,255.50 = 756.83 : x
  2. Step 2: Convert to fraction form
    2,836.83/4,255.50 = 756.83/x
  3. Step 3: Cross multiply
    2,836.83x = 4,255.50 × 756.83
  4. Step 4: Simplify right side
    2,836.83x = 3,220,690.07
  5. Step 5: Solve for x
    x = 3,220,690.07/2,836.83
  6. Step 6: Final answer
    x = 1,135.31

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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.