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Finding the Fourth Proportional to 2,643.73, 3,965.28 and 696.09

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Solution

The fourth proportional to 2,643.73, 3,965.28 and 696.09 is: 1,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.73 : 3,965.28 = 696.09 : x
  2. Step 2: Convert to fraction form
    2,643.73/3,965.28 = 696.09/x
  3. Step 3: Cross multiply
    2,643.73x = 3,965.28 × 696.09
  4. Step 4: Simplify right side
    2,643.73x = 2,760,171.93
  5. Step 5: Solve for x
    x = 2,760,171.93/2,643.73
  6. Step 6: Final answer
    x = 1,044.04

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1.5x scale

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.