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Finding the Fourth Proportional to 10,806.72, 16,211 and 3,015.56

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Solution

The fourth proportional to 10,806.72, 16,211 and 3,015.56 is: 4,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.72 : 16,211 = 3,015.56 : x
  2. Step 2: Convert to fraction form
    10,806.72/16,211 = 3,015.56/x
  3. Step 3: Cross multiply
    10,806.72x = 16,211 × 3,015.56
  4. Step 4: Simplify right side
    10,806.72x = 48,885,243.16
  5. Step 5: Solve for x
    x = 48,885,243.16/10,806.72
  6. Step 6: Final answer
    x = 4,523.60

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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.