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Finding the Fourth Proportional to 3,076.44, 4,614.82 and 767.96

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Solution

The fourth proportional to 3,076.44, 4,614.82 and 767.96 is: 1,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.44 : 4,614.82 = 767.96 : x
  2. Step 2: Convert to fraction form
    3,076.44/4,614.82 = 767.96/x
  3. Step 3: Cross multiply
    3,076.44x = 4,614.82 × 767.96
  4. Step 4: Simplify right side
    3,076.44x = 3,543,997.17
  5. Step 5: Solve for x
    x = 3,543,997.17/3,076.44
  6. Step 6: Final answer
    x = 1,151.98

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1.5x scale

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.