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Finding the Fourth Proportional to 2,958.07, 4,082.07 and 1,631.90

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Solution

The fourth proportional to 2,958.07, 4,082.07 and 1,631.90 is: 2,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.07 : 4,082.07 = 1,631.90 : x
  2. Step 2: Convert to fraction form
    2,958.07/4,082.07 = 1,631.90/x
  3. Step 3: Cross multiply
    2,958.07x = 4,082.07 × 1,631.90
  4. Step 4: Simplify right side
    2,958.07x = 6,661,530.03
  5. Step 5: Solve for x
    x = 6,661,530.03/2,958.07
  6. Step 6: Final answer
    x = 2,251.99

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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.