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Finding the Fourth Proportional to 2,777.82, 3,833.90 and 1,659.70

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Solution

The fourth proportional to 2,777.82, 3,833.90 and 1,659.70 is: 2,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.82 : 3,833.90 = 1,659.70 : x
  2. Step 2: Convert to fraction form
    2,777.82/3,833.90 = 1,659.70/x
  3. Step 3: Cross multiply
    2,777.82x = 3,833.90 × 1,659.70
  4. Step 4: Simplify right side
    2,777.82x = 6,363,123.83
  5. Step 5: Solve for x
    x = 6,363,123.83/2,777.82
  6. Step 6: Final answer
    x = 2,290.69

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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.