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Finding the Fourth Proportional to 2,940.34, 4,426.56 and 2,682

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Solution

The fourth proportional to 2,940.34, 4,426.56 and 2,682 is: 4,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.34 : 4,426.56 = 2,682 : x
  2. Step 2: Convert to fraction form
    2,940.34/4,426.56 = 2,682/x
  3. Step 3: Cross multiply
    2,940.34x = 4,426.56 × 2,682
  4. Step 4: Simplify right side
    2,940.34x = 11,872,020.51
  5. Step 5: Solve for x
    x = 11,872,020.51/2,940.34
  6. Step 6: Final answer
    x = 4,037.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.