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Finding the Fourth Proportional to 3,863.79, 5,334.09 and 3,022.71

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Solution

The fourth proportional to 3,863.79, 5,334.09 and 3,022.71 is: 4,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.79 : 5,334.09 = 3,022.71 : x
  2. Step 2: Convert to fraction form
    3,863.79/5,334.09 = 3,022.71/x
  3. Step 3: Cross multiply
    3,863.79x = 5,334.09 × 3,022.71
  4. Step 4: Simplify right side
    3,863.79x = 16,123,407.18
  5. Step 5: Solve for x
    x = 16,123,407.18/3,863.79
  6. Step 6: Final answer
    x = 4,172.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.