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Finding the Fourth Proportional to 21,882.42, 32,819.99 and 7,839.99

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Solution

The fourth proportional to 21,882.42, 32,819.99 and 7,839.99 is: 11,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.42 : 32,819.99 = 7,839.99 : x
  2. Step 2: Convert to fraction form
    21,882.42/32,819.99 = 7,839.99/x
  3. Step 3: Cross multiply
    21,882.42x = 32,819.99 × 7,839.99
  4. Step 4: Simplify right side
    21,882.42x = 257,308,354.20
  5. Step 5: Solve for x
    x = 257,308,354.20/21,882.42
  6. Step 6: Final answer
    x = 11,758.68

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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.