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Finding the Fourth Proportional to 2,873.45, 3,965.01 and 1,694.09

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Solution

The fourth proportional to 2,873.45, 3,965.01 and 1,694.09 is: 2,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.45 : 3,965.01 = 1,694.09 : x
  2. Step 2: Convert to fraction form
    2,873.45/3,965.01 = 1,694.09/x
  3. Step 3: Cross multiply
    2,873.45x = 3,965.01 × 1,694.09
  4. Step 4: Simplify right side
    2,873.45x = 6,717,083.79
  5. Step 5: Solve for x
    x = 6,717,083.79/2,873.45
  6. Step 6: Final answer
    x = 2,337.64

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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.