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Finding the Fourth Proportional to 10,806.84, 16,212.42 and 3,411.99

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Solution

The fourth proportional to 10,806.84, 16,212.42 and 3,411.99 is: 5,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.84 : 16,212.42 = 3,411.99 : x
  2. Step 2: Convert to fraction form
    10,806.84/16,212.42 = 3,411.99/x
  3. Step 3: Cross multiply
    10,806.84x = 16,212.42 × 3,411.99
  4. Step 4: Simplify right side
    10,806.84x = 55,316,614.92
  5. Step 5: Solve for x
    x = 55,316,614.92/10,806.84
  6. Step 6: Final answer
    x = 5,118.67

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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.