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Finding the Fourth Proportional to 21,765.75, 32,649 and 9,453.75

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Solution

The fourth proportional to 21,765.75, 32,649 and 9,453.75 is: 14,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.75 : 32,649 = 9,453.75 : x
  2. Step 2: Convert to fraction form
    21,765.75/32,649 = 9,453.75/x
  3. Step 3: Cross multiply
    21,765.75x = 32,649 × 9,453.75
  4. Step 4: Simplify right side
    21,765.75x = 308,655,483.75
  5. Step 5: Solve for x
    x = 308,655,483.75/21,765.75
  6. Step 6: Final answer
    x = 14,180.79

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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.