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Finding the Fourth Proportional to 20,797.73, 31,208.94 and 7,659.32

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Solution

The fourth proportional to 20,797.73, 31,208.94 and 7,659.32 is: 11,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.73 : 31,208.94 = 7,659.32 : x
  2. Step 2: Convert to fraction form
    20,797.73/31,208.94 = 7,659.32/x
  3. Step 3: Cross multiply
    20,797.73x = 31,208.94 × 7,659.32
  4. Step 4: Simplify right side
    20,797.73x = 239,039,102.28
  5. Step 5: Solve for x
    x = 239,039,102.28/20,797.73
  6. Step 6: Final answer
    x = 11,493.52

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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.