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Finding the Fourth Proportional to 2,857.77, 4,286.93 and 777.80

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Solution

The fourth proportional to 2,857.77, 4,286.93 and 777.80 is: 1,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.77 : 4,286.93 = 777.80 : x
  2. Step 2: Convert to fraction form
    2,857.77/4,286.93 = 777.80/x
  3. Step 3: Cross multiply
    2,857.77x = 4,286.93 × 777.80
  4. Step 4: Simplify right side
    2,857.77x = 3,334,380.98
  5. Step 5: Solve for x
    x = 3,334,380.98/2,857.77
  6. Step 6: Final answer
    x = 1,166.78

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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.