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Finding the Fourth Proportional to 10,806.80, 16,217.40 and 4,960.40

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Solution

The fourth proportional to 10,806.80, 16,217.40 and 4,960.40 is: 7,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.80 : 16,217.40 = 4,960.40 : x
  2. Step 2: Convert to fraction form
    10,806.80/16,217.40 = 4,960.40/x
  3. Step 3: Cross multiply
    10,806.80x = 16,217.40 × 4,960.40
  4. Step 4: Simplify right side
    10,806.80x = 80,444,790.96
  5. Step 5: Solve for x
    x = 80,444,790.96/10,806.80
  6. Step 6: Final answer
    x = 7,443.90

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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.