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Finding the Fourth Proportional to 3,180.25, 4,770.51 and 871.75

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Solution

The fourth proportional to 3,180.25, 4,770.51 and 871.75 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.25 : 4,770.51 = 871.75 : x
  2. Step 2: Convert to fraction form
    3,180.25/4,770.51 = 871.75/x
  3. Step 3: Cross multiply
    3,180.25x = 4,770.51 × 871.75
  4. Step 4: Simplify right side
    3,180.25x = 4,158,692.09
  5. Step 5: Solve for x
    x = 4,158,692.09/3,180.25
  6. Step 6: Final answer
    x = 1,307.66

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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.