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Finding the Fourth Proportional to 2,777.73, 3,834.03 and 1,659.42

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Solution

The fourth proportional to 2,777.73, 3,834.03 and 1,659.42 is: 2,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.73 : 3,834.03 = 1,659.42 : x
  2. Step 2: Convert to fraction form
    2,777.73/3,834.03 = 1,659.42/x
  3. Step 3: Cross multiply
    2,777.73x = 3,834.03 × 1,659.42
  4. Step 4: Simplify right side
    2,777.73x = 6,362,266.06
  5. Step 5: Solve for x
    x = 6,362,266.06/2,777.73
  6. Step 6: Final answer
    x = 2,290.46

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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.