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Finding the Fourth Proportional to 10,806.80, 16,208.28 and 3,013.68

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Solution

The fourth proportional to 10,806.80, 16,208.28 and 3,013.68 is: 4,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.80 : 16,208.28 = 3,013.68 : x
  2. Step 2: Convert to fraction form
    10,806.80/16,208.28 = 3,013.68/x
  3. Step 3: Cross multiply
    10,806.80x = 16,208.28 × 3,013.68
  4. Step 4: Simplify right side
    10,806.80x = 48,846,569.27
  5. Step 5: Solve for x
    x = 48,846,569.27/10,806.80
  6. Step 6: Final answer
    x = 4,519.98

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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.