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Finding the Fourth Proportional to 10,893.20, 16,333.20 and 4,311.80

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Solution

The fourth proportional to 10,893.20, 16,333.20 and 4,311.80 is: 6,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.20 : 16,333.20 = 4,311.80 : x
  2. Step 2: Convert to fraction form
    10,893.20/16,333.20 = 4,311.80/x
  3. Step 3: Cross multiply
    10,893.20x = 16,333.20 × 4,311.80
  4. Step 4: Simplify right side
    10,893.20x = 70,425,491.76
  5. Step 5: Solve for x
    x = 70,425,491.76/10,893.20
  6. Step 6: Final answer
    x = 6,465.09

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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.