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Finding the Fourth Proportional to 2,589.89, 3,884.83 and 946.42

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Solution

The fourth proportional to 2,589.89, 3,884.83 and 946.42 is: 1,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.89 : 3,884.83 = 946.42 : x
  2. Step 2: Convert to fraction form
    2,589.89/3,884.83 = 946.42/x
  3. Step 3: Cross multiply
    2,589.89x = 3,884.83 × 946.42
  4. Step 4: Simplify right side
    2,589.89x = 3,676,668.73
  5. Step 5: Solve for x
    x = 3,676,668.73/2,589.89
  6. Step 6: Final answer
    x = 1,419.63

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Similar ratio
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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.