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Finding the Fourth Proportional to 10,819.71, 16,231.19 and 3,421.71

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Solution

The fourth proportional to 10,819.71, 16,231.19 and 3,421.71 is: 5,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.71 : 16,231.19 = 3,421.71 : x
  2. Step 2: Convert to fraction form
    10,819.71/16,231.19 = 3,421.71/x
  3. Step 3: Cross multiply
    10,819.71x = 16,231.19 × 3,421.71
  4. Step 4: Simplify right side
    10,819.71x = 55,538,408.03
  5. Step 5: Solve for x
    x = 55,538,408.03/10,819.71
  6. Step 6: Final answer
    x = 5,133.08

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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.