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Finding the Fourth Proportional to 3,963.15, 5,945.63 and 2,113.29

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Solution

The fourth proportional to 3,963.15, 5,945.63 and 2,113.29 is: 3,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.15 : 5,945.63 = 2,113.29 : x
  2. Step 2: Convert to fraction form
    3,963.15/5,945.63 = 2,113.29/x
  3. Step 3: Cross multiply
    3,963.15x = 5,945.63 × 2,113.29
  4. Step 4: Simplify right side
    3,963.15x = 12,564,840.42
  5. Step 5: Solve for x
    x = 12,564,840.42/3,963.15
  6. Step 6: Final answer
    x = 3,170.42

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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.