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Finding the Fourth Proportional to 3,719.28, 5,578.43 and 945.71

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Solution

The fourth proportional to 3,719.28, 5,578.43 and 945.71 is: 1,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.28 : 5,578.43 = 945.71 : x
  2. Step 2: Convert to fraction form
    3,719.28/5,578.43 = 945.71/x
  3. Step 3: Cross multiply
    3,719.28x = 5,578.43 × 945.71
  4. Step 4: Simplify right side
    3,719.28x = 5,275,544.41
  5. Step 5: Solve for x
    x = 5,275,544.41/3,719.28
  6. Step 6: Final answer
    x = 1,418.43

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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.