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Finding the Fourth Proportional to 2,759.96, 4,139.84 and 911.03

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Solution

The fourth proportional to 2,759.96, 4,139.84 and 911.03 is: 1,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.96 : 4,139.84 = 911.03 : x
  2. Step 2: Convert to fraction form
    2,759.96/4,139.84 = 911.03/x
  3. Step 3: Cross multiply
    2,759.96x = 4,139.84 × 911.03
  4. Step 4: Simplify right side
    2,759.96x = 3,771,493.18
  5. Step 5: Solve for x
    x = 3,771,493.18/2,759.96
  6. Step 6: Final answer
    x = 1,366.51

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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.