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Finding the Fourth Proportional to 3,180.58, 4,770.31 and 871.46

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Solution

The fourth proportional to 3,180.58, 4,770.31 and 871.46 is: 1,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.58 : 4,770.31 = 871.46 : x
  2. Step 2: Convert to fraction form
    3,180.58/4,770.31 = 871.46/x
  3. Step 3: Cross multiply
    3,180.58x = 4,770.31 × 871.46
  4. Step 4: Simplify right side
    3,180.58x = 4,157,134.35
  5. Step 5: Solve for x
    x = 4,157,134.35/3,180.58
  6. Step 6: Final answer
    x = 1,307.04

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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.