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Finding the Fourth Proportional to 12,199.43, 16,835.09 and 7,162.76

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Solution

The fourth proportional to 12,199.43, 16,835.09 and 7,162.76 is: 9,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.43 : 16,835.09 = 7,162.76 : x
  2. Step 2: Convert to fraction form
    12,199.43/16,835.09 = 7,162.76/x
  3. Step 3: Cross multiply
    12,199.43x = 16,835.09 × 7,162.76
  4. Step 4: Simplify right side
    12,199.43x = 120,585,589.26
  5. Step 5: Solve for x
    x = 120,585,589.26/12,199.43
  6. Step 6: Final answer
    x = 9,884.53

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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.