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Finding the Fourth Proportional to 12,193.37, 16,834.09 and 7,720.95

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Solution

The fourth proportional to 12,193.37, 16,834.09 and 7,720.95 is: 10,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.37 : 16,834.09 = 7,720.95 : x
  2. Step 2: Convert to fraction form
    12,193.37/16,834.09 = 7,720.95/x
  3. Step 3: Cross multiply
    12,193.37x = 16,834.09 × 7,720.95
  4. Step 4: Simplify right side
    12,193.37x = 129,975,147.88
  5. Step 5: Solve for x
    x = 129,975,147.88/12,193.37
  6. Step 6: Final answer
    x = 10,659.50

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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.