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Finding the Fourth Proportional to 2,759.52, 4,139.70 and 910.83

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Solution

The fourth proportional to 2,759.52, 4,139.70 and 910.83 is: 1,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.52 : 4,139.70 = 910.83 : x
  2. Step 2: Convert to fraction form
    2,759.52/4,139.70 = 910.83/x
  3. Step 3: Cross multiply
    2,759.52x = 4,139.70 × 910.83
  4. Step 4: Simplify right side
    2,759.52x = 3,770,575.06
  5. Step 5: Solve for x
    x = 3,770,575.06/2,759.52
  6. Step 6: Final answer
    x = 1,366.39

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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.