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Finding the Fourth Proportional to 2,855.82, 3,941.55 and 1,660.97

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Solution

The fourth proportional to 2,855.82, 3,941.55 and 1,660.97 is: 2,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.82 : 3,941.55 = 1,660.97 : x
  2. Step 2: Convert to fraction form
    2,855.82/3,941.55 = 1,660.97/x
  3. Step 3: Cross multiply
    2,855.82x = 3,941.55 × 1,660.97
  4. Step 4: Simplify right side
    2,855.82x = 6,546,776.60
  5. Step 5: Solve for x
    x = 6,546,776.60/2,855.82
  6. Step 6: Final answer
    x = 2,292.43

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1.5x scale

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.