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Finding the Fourth Proportional to 2,958.26, 4,084.08 and 1,964.90

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Solution

The fourth proportional to 2,958.26, 4,084.08 and 1,964.90 is: 2,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.26 : 4,084.08 = 1,964.90 : x
  2. Step 2: Convert to fraction form
    2,958.26/4,084.08 = 1,964.90/x
  3. Step 3: Cross multiply
    2,958.26x = 4,084.08 × 1,964.90
  4. Step 4: Simplify right side
    2,958.26x = 8,024,808.79
  5. Step 5: Solve for x
    x = 8,024,808.79/2,958.26
  6. Step 6: Final answer
    x = 2,712.68

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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.