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Finding the Fourth Proportional to 2,759.77, 4,139.66 and 679.82

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Solution

The fourth proportional to 2,759.77, 4,139.66 and 679.82 is: 1,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.77 : 4,139.66 = 679.82 : x
  2. Step 2: Convert to fraction form
    2,759.77/4,139.66 = 679.82/x
  3. Step 3: Cross multiply
    2,759.77x = 4,139.66 × 679.82
  4. Step 4: Simplify right side
    2,759.77x = 2,814,202.11
  5. Step 5: Solve for x
    x = 2,814,202.11/2,759.77
  6. Step 6: Final answer
    x = 1,019.72

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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.