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Finding the Fourth Proportional to 3,268.65, 4,510.76 and 1,942.09

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Solution

The fourth proportional to 3,268.65, 4,510.76 and 1,942.09 is: 2,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.65 : 4,510.76 = 1,942.09 : x
  2. Step 2: Convert to fraction form
    3,268.65/4,510.76 = 1,942.09/x
  3. Step 3: Cross multiply
    3,268.65x = 4,510.76 × 1,942.09
  4. Step 4: Simplify right side
    3,268.65x = 8,760,317.20
  5. Step 5: Solve for x
    x = 8,760,317.20/3,268.65
  6. Step 6: Final answer
    x = 2,680.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.