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Finding the Fourth Proportional to 2,183.61, 3,274.20 and 777.33

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Solution

The fourth proportional to 2,183.61, 3,274.20 and 777.33 is: 1,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.61 : 3,274.20 = 777.33 : x
  2. Step 2: Convert to fraction form
    2,183.61/3,274.20 = 777.33/x
  3. Step 3: Cross multiply
    2,183.61x = 3,274.20 × 777.33
  4. Step 4: Simplify right side
    2,183.61x = 2,545,133.89
  5. Step 5: Solve for x
    x = 2,545,133.89/2,183.61
  6. Step 6: Final answer
    x = 1,165.56

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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.