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Finding the Fourth Proportional to 21,814.88, 32,719.20 and 7,021.92

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Solution

The fourth proportional to 21,814.88, 32,719.20 and 7,021.92 is: 10,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.88 : 32,719.20 = 7,021.92 : x
  2. Step 2: Convert to fraction form
    21,814.88/32,719.20 = 7,021.92/x
  3. Step 3: Cross multiply
    21,814.88x = 32,719.20 × 7,021.92
  4. Step 4: Simplify right side
    21,814.88x = 229,751,604.86
  5. Step 5: Solve for x
    x = 229,751,604.86/21,814.88
  6. Step 6: Final answer
    x = 10,531.88

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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.