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Finding the Fourth Proportional to 10,872.81, 16,309.80 and 3,081

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Solution

The fourth proportional to 10,872.81, 16,309.80 and 3,081 is: 4,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.81 : 16,309.80 = 3,081 : x
  2. Step 2: Convert to fraction form
    10,872.81/16,309.80 = 3,081/x
  3. Step 3: Cross multiply
    10,872.81x = 16,309.80 × 3,081
  4. Step 4: Simplify right side
    10,872.81x = 50,250,493.80
  5. Step 5: Solve for x
    x = 50,250,493.80/10,872.81
  6. Step 6: Final answer
    x = 4,621.67

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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.