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Finding the Fourth Proportional to 3,164.70, 4,747.86 and 1,216.38

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Solution

The fourth proportional to 3,164.70, 4,747.86 and 1,216.38 is: 1,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.70 : 4,747.86 = 1,216.38 : x
  2. Step 2: Convert to fraction form
    3,164.70/4,747.86 = 1,216.38/x
  3. Step 3: Cross multiply
    3,164.70x = 4,747.86 × 1,216.38
  4. Step 4: Simplify right side
    3,164.70x = 5,775,201.95
  5. Step 5: Solve for x
    x = 5,775,201.95/3,164.70
  6. Step 6: Final answer
    x = 1,824.88

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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.