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Finding the Fourth Proportional to 10,819.70, 16,200.23 and 5,614.64

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Solution

The fourth proportional to 10,819.70, 16,200.23 and 5,614.64 is: 8,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.70 : 16,200.23 = 5,614.64 : x
  2. Step 2: Convert to fraction form
    10,819.70/16,200.23 = 5,614.64/x
  3. Step 3: Cross multiply
    10,819.70x = 16,200.23 × 5,614.64
  4. Step 4: Simplify right side
    10,819.70x = 90,958,472.40
  5. Step 5: Solve for x
    x = 90,958,472.40/10,819.70
  6. Step 6: Final answer
    x = 8,406.75

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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.