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Finding the Fourth Proportional to 3,161.25, 4,741.88 and 852.75

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Solution

The fourth proportional to 3,161.25, 4,741.88 and 852.75 is: 1,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.25 : 4,741.88 = 852.75 : x
  2. Step 2: Convert to fraction form
    3,161.25/4,741.88 = 852.75/x
  3. Step 3: Cross multiply
    3,161.25x = 4,741.88 × 852.75
  4. Step 4: Simplify right side
    3,161.25x = 4,043,633.91
  5. Step 5: Solve for x
    x = 4,043,633.91/3,161.25
  6. Step 6: Final answer
    x = 1,279.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.