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Finding the Fourth Proportional to 3,191.89, 4,788.21 and 852

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Solution

The fourth proportional to 3,191.89, 4,788.21 and 852 is: 1,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.89 : 4,788.21 = 852 : x
  2. Step 2: Convert to fraction form
    3,191.89/4,788.21 = 852/x
  3. Step 3: Cross multiply
    3,191.89x = 4,788.21 × 852
  4. Step 4: Simplify right side
    3,191.89x = 4,079,554.92
  5. Step 5: Solve for x
    x = 4,079,554.92/3,191.89
  6. Step 6: Final answer
    x = 1,278.10

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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.