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Finding the Fourth Proportional to 3,966.22, 5,951.40 and 1,992.16

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Solution

The fourth proportional to 3,966.22, 5,951.40 and 1,992.16 is: 2,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.22 : 5,951.40 = 1,992.16 : x
  2. Step 2: Convert to fraction form
    3,966.22/5,951.40 = 1,992.16/x
  3. Step 3: Cross multiply
    3,966.22x = 5,951.40 × 1,992.16
  4. Step 4: Simplify right side
    3,966.22x = 11,856,141.02
  5. Step 5: Solve for x
    x = 11,856,141.02/3,966.22
  6. Step 6: Final answer
    x = 2,989.28

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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.