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Finding the Fourth Proportional to 2,759.63, 4,139.96 and 910.82

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Solution

The fourth proportional to 2,759.63, 4,139.96 and 910.82 is: 1,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.63 : 4,139.96 = 910.82 : x
  2. Step 2: Convert to fraction form
    2,759.63/4,139.96 = 910.82/x
  3. Step 3: Cross multiply
    2,759.63x = 4,139.96 × 910.82
  4. Step 4: Simplify right side
    2,759.63x = 3,770,753.81
  5. Step 5: Solve for x
    x = 3,770,753.81/2,759.63
  6. Step 6: Final answer
    x = 1,366.40

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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.