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Finding the Fourth Proportional to 3,396, 4,694.33 and 2,833.19

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Solution

The fourth proportional to 3,396, 4,694.33 and 2,833.19 is: 3,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396 : 4,694.33 = 2,833.19 : x
  2. Step 2: Convert to fraction form
    3,396/4,694.33 = 2,833.19/x
  3. Step 3: Cross multiply
    3,396x = 4,694.33 × 2,833.19
  4. Step 4: Simplify right side
    3,396x = 13,299,891.18
  5. Step 5: Solve for x
    x = 13,299,891.18/3,396
  6. Step 6: Final answer
    x = 3,916.34

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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.