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Finding the Fourth Proportional to 3,188.20, 4,780.65 and 996.34

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Solution

The fourth proportional to 3,188.20, 4,780.65 and 996.34 is: 1,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.20 : 4,780.65 = 996.34 : x
  2. Step 2: Convert to fraction form
    3,188.20/4,780.65 = 996.34/x
  3. Step 3: Cross multiply
    3,188.20x = 4,780.65 × 996.34
  4. Step 4: Simplify right side
    3,188.20x = 4,763,152.82
  5. Step 5: Solve for x
    x = 4,763,152.82/3,188.20
  6. Step 6: Final answer
    x = 1,493.99

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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.