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Finding the Fourth Proportional to 3,192, 4,405.20 and 1,950.24

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Solution

The fourth proportional to 3,192, 4,405.20 and 1,950.24 is: 2,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192 : 4,405.20 = 1,950.24 : x
  2. Step 2: Convert to fraction form
    3,192/4,405.20 = 1,950.24/x
  3. Step 3: Cross multiply
    3,192x = 4,405.20 × 1,950.24
  4. Step 4: Simplify right side
    3,192x = 8,591,197.25
  5. Step 5: Solve for x
    x = 8,591,197.25/3,192
  6. Step 6: Final answer
    x = 2,691.48

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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.