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Finding the Fourth Proportional to 2,686, 4,028.70 and 930.82

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Solution

The fourth proportional to 2,686, 4,028.70 and 930.82 is: 1,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 4,028.70 = 930.82 : x
  2. Step 2: Convert to fraction form
    2,686/4,028.70 = 930.82/x
  3. Step 3: Cross multiply
    2,686x = 4,028.70 × 930.82
  4. Step 4: Simplify right side
    2,686x = 3,749,994.53
  5. Step 5: Solve for x
    x = 3,749,994.53/2,686
  6. Step 6: Final answer
    x = 1,396.13

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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.