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Finding the Fourth Proportional to 21,372, 32,057.61 and 8,227.22

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Solution

The fourth proportional to 21,372, 32,057.61 and 8,227.22 is: 12,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,372 : 32,057.61 = 8,227.22 : x
  2. Step 2: Convert to fraction form
    21,372/32,057.61 = 8,227.22/x
  3. Step 3: Cross multiply
    21,372x = 32,057.61 × 8,227.22
  4. Step 4: Simplify right side
    21,372x = 263,744,849.86
  5. Step 5: Solve for x
    x = 263,744,849.86/21,372
  6. Step 6: Final answer
    x = 12,340.67

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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.