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Finding the Fourth Proportional to 3,189.78, 4,781.03 and 1,958.07

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Solution

The fourth proportional to 3,189.78, 4,781.03 and 1,958.07 is: 2,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.78 : 4,781.03 = 1,958.07 : x
  2. Step 2: Convert to fraction form
    3,189.78/4,781.03 = 1,958.07/x
  3. Step 3: Cross multiply
    3,189.78x = 4,781.03 × 1,958.07
  4. Step 4: Simplify right side
    3,189.78x = 9,361,599.55
  5. Step 5: Solve for x
    x = 9,361,599.55/3,189.78
  6. Step 6: Final answer
    x = 2,934.87

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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.