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Finding the Fourth Proportional to 3,076.41, 4,614.63 and 767.91

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Solution

The fourth proportional to 3,076.41, 4,614.63 and 767.91 is: 1,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.41 : 4,614.63 = 767.91 : x
  2. Step 2: Convert to fraction form
    3,076.41/4,614.63 = 767.91/x
  3. Step 3: Cross multiply
    3,076.41x = 4,614.63 × 767.91
  4. Step 4: Simplify right side
    3,076.41x = 3,543,620.52
  5. Step 5: Solve for x
    x = 3,543,620.52/3,076.41
  6. Step 6: Final answer
    x = 1,151.87

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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.