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Finding the Fourth Proportional to 7,963.63, 11,945.42 and 2,120.24

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Solution

The fourth proportional to 7,963.63, 11,945.42 and 2,120.24 is: 3,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.63 : 11,945.42 = 2,120.24 : x
  2. Step 2: Convert to fraction form
    7,963.63/11,945.42 = 2,120.24/x
  3. Step 3: Cross multiply
    7,963.63x = 11,945.42 × 2,120.24
  4. Step 4: Simplify right side
    7,963.63x = 25,327,157.30
  5. Step 5: Solve for x
    x = 25,327,157.30/7,963.63
  6. Step 6: Final answer
    x = 3,180.35

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1.5x scale

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.