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Finding the Fourth Proportional to 13,775, 20,645.22 and 7,113.56

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Solution

The fourth proportional to 13,775, 20,645.22 and 7,113.56 is: 10,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775 : 20,645.22 = 7,113.56 : x
  2. Step 2: Convert to fraction form
    13,775/20,645.22 = 7,113.56/x
  3. Step 3: Cross multiply
    13,775x = 20,645.22 × 7,113.56
  4. Step 4: Simplify right side
    13,775x = 146,861,011.18
  5. Step 5: Solve for x
    x = 146,861,011.18/13,775
  6. Step 6: Final answer
    x = 10,661.42

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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.