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Finding the Fourth Proportional to 21,759.75, 32,630.38 and 7,723.31

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Solution

The fourth proportional to 21,759.75, 32,630.38 and 7,723.31 is: 11,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,759.75 : 32,630.38 = 7,723.31 : x
  2. Step 2: Convert to fraction form
    21,759.75/32,630.38 = 7,723.31/x
  3. Step 3: Cross multiply
    21,759.75x = 32,630.38 × 7,723.31
  4. Step 4: Simplify right side
    21,759.75x = 252,014,357.70
  5. Step 5: Solve for x
    x = 252,014,357.70/21,759.75
  6. Step 6: Final answer
    x = 11,581.68

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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.