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Finding the Fourth Proportional to 7,963.02, 11,944.80 and 2,120.22

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Solution

The fourth proportional to 7,963.02, 11,944.80 and 2,120.22 is: 3,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.02 : 11,944.80 = 2,120.22 : x
  2. Step 2: Convert to fraction form
    7,963.02/11,944.80 = 2,120.22/x
  3. Step 3: Cross multiply
    7,963.02x = 11,944.80 × 2,120.22
  4. Step 4: Simplify right side
    7,963.02x = 25,325,603.86
  5. Step 5: Solve for x
    x = 25,325,603.86/7,963.02
  6. Step 6: Final answer
    x = 3,180.40

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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.