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Finding the Fourth Proportional to 3,243.31, 4,475.82 and 1,917.14

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Solution

The fourth proportional to 3,243.31, 4,475.82 and 1,917.14 is: 2,645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.31 : 4,475.82 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    3,243.31/4,475.82 = 1,917.14/x
  3. Step 3: Cross multiply
    3,243.31x = 4,475.82 × 1,917.14
  4. Step 4: Simplify right side
    3,243.31x = 8,580,773.55
  5. Step 5: Solve for x
    x = 8,580,773.55/3,243.31
  6. Step 6: Final answer
    x = 2,645.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.