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Finding the Fourth Proportional to 14,757.50, 20,365.44 and 8,469.92

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Solution

The fourth proportional to 14,757.50, 20,365.44 and 8,469.92 is: 11,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.50 : 20,365.44 = 8,469.92 : x
  2. Step 2: Convert to fraction form
    14,757.50/20,365.44 = 8,469.92/x
  3. Step 3: Cross multiply
    14,757.50x = 20,365.44 × 8,469.92
  4. Step 4: Simplify right side
    14,757.50x = 172,493,647.56
  5. Step 5: Solve for x
    x = 172,493,647.56/14,757.50
  6. Step 6: Final answer
    x = 11,688.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.