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Finding the Fourth Proportional to 3,290.73, 4,540.96 and 1,964.15

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Solution

The fourth proportional to 3,290.73, 4,540.96 and 1,964.15 is: 2,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.73 : 4,540.96 = 1,964.15 : x
  2. Step 2: Convert to fraction form
    3,290.73/4,540.96 = 1,964.15/x
  3. Step 3: Cross multiply
    3,290.73x = 4,540.96 × 1,964.15
  4. Step 4: Simplify right side
    3,290.73x = 8,919,123.36
  5. Step 5: Solve for x
    x = 8,919,123.36/3,290.73
  6. Step 6: Final answer
    x = 2,710.38

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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.