Home / 3,076.27-4,614.39-767.77

Finding the Fourth Proportional to 3,076.27, 4,614.39 and 767.77

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Solution

The fourth proportional to 3,076.27, 4,614.39 and 767.77 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.27 : 4,614.39 = 767.77 : x
  2. Step 2: Convert to fraction form
    3,076.27/4,614.39 = 767.77/x
  3. Step 3: Cross multiply
    3,076.27x = 4,614.39 × 767.77
  4. Step 4: Simplify right side
    3,076.27x = 3,542,790.21
  5. Step 5: Solve for x
    x = 3,542,790.21/3,076.27
  6. Step 6: Final answer
    x = 1,151.65

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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.