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Finding the Fourth Proportional to 2,146, 3,219.40 and 685.36

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Solution

The fourth proportional to 2,146, 3,219.40 and 685.36 is: 1,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 3,219.40 = 685.36 : x
  2. Step 2: Convert to fraction form
    2,146/3,219.40 = 685.36/x
  3. Step 3: Cross multiply
    2,146x = 3,219.40 × 685.36
  4. Step 4: Simplify right side
    2,146x = 2,206,447.98
  5. Step 5: Solve for x
    x = 2,206,447.98/2,146
  6. Step 6: Final answer
    x = 1,028.17

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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.