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Finding the Fourth Proportional to 10,812, 16,222.88 and 6,195

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Solution

The fourth proportional to 10,812, 16,222.88 and 6,195 is: 9,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812 : 16,222.88 = 6,195 : x
  2. Step 2: Convert to fraction form
    10,812/16,222.88 = 6,195/x
  3. Step 3: Cross multiply
    10,812x = 16,222.88 × 6,195
  4. Step 4: Simplify right side
    10,812x = 100,500,741.60
  5. Step 5: Solve for x
    x = 100,500,741.60/10,812
  6. Step 6: Final answer
    x = 9,295.30

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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.