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Finding the Fourth Proportional to 3,143.78, 4,716.68 and 952.73

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Solution

The fourth proportional to 3,143.78, 4,716.68 and 952.73 is: 1,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.78 : 4,716.68 = 952.73 : x
  2. Step 2: Convert to fraction form
    3,143.78/4,716.68 = 952.73/x
  3. Step 3: Cross multiply
    3,143.78x = 4,716.68 × 952.73
  4. Step 4: Simplify right side
    3,143.78x = 4,493,694.19
  5. Step 5: Solve for x
    x = 4,493,694.19/3,143.78
  6. Step 6: Final answer
    x = 1,429.39

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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.