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Finding the Fourth Proportional to 3,076.81, 4,616.29 and 1,921.21

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Solution

The fourth proportional to 3,076.81, 4,616.29 and 1,921.21 is: 2,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.81 : 4,616.29 = 1,921.21 : x
  2. Step 2: Convert to fraction form
    3,076.81/4,616.29 = 1,921.21/x
  3. Step 3: Cross multiply
    3,076.81x = 4,616.29 × 1,921.21
  4. Step 4: Simplify right side
    3,076.81x = 8,868,839.43
  5. Step 5: Solve for x
    x = 8,868,839.43/3,076.81
  6. Step 6: Final answer
    x = 2,882.48

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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.