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Finding the Fourth Proportional to 2,759.69, 4,139.54 and 813.26

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Solution

The fourth proportional to 2,759.69, 4,139.54 and 813.26 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.69 : 4,139.54 = 813.26 : x
  2. Step 2: Convert to fraction form
    2,759.69/4,139.54 = 813.26/x
  3. Step 3: Cross multiply
    2,759.69x = 4,139.54 × 813.26
  4. Step 4: Simplify right side
    2,759.69x = 3,366,497.54
  5. Step 5: Solve for x
    x = 3,366,497.54/2,759.69
  6. Step 6: Final answer
    x = 1,219.88

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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.