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Finding the Fourth Proportional to 11,819.52, 17,717.92 and 4,421.92

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Solution

The fourth proportional to 11,819.52, 17,717.92 and 4,421.92 is: 6,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.52 : 17,717.92 = 4,421.92 : x
  2. Step 2: Convert to fraction form
    11,819.52/17,717.92 = 4,421.92/x
  3. Step 3: Cross multiply
    11,819.52x = 17,717.92 × 4,421.92
  4. Step 4: Simplify right side
    11,819.52x = 78,347,224.81
  5. Step 5: Solve for x
    x = 78,347,224.81/11,819.52
  6. Step 6: Final answer
    x = 6,628.63

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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.