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Finding the Fourth Proportional to 10,816.20, 16,223.76 and 6,912

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Solution

The fourth proportional to 10,816.20, 16,223.76 and 6,912 is: 10,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.20 : 16,223.76 = 6,912 : x
  2. Step 2: Convert to fraction form
    10,816.20/16,223.76 = 6,912/x
  3. Step 3: Cross multiply
    10,816.20x = 16,223.76 × 6,912
  4. Step 4: Simplify right side
    10,816.20x = 112,138,629.12
  5. Step 5: Solve for x
    x = 112,138,629.12/10,816.20
  6. Step 6: Final answer
    x = 10,367.65

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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.