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Finding the Fourth Proportional to 12,195.09, 16,829.03 and 6,889.59

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Solution

The fourth proportional to 12,195.09, 16,829.03 and 6,889.59 is: 9,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.09 : 16,829.03 = 6,889.59 : x
  2. Step 2: Convert to fraction form
    12,195.09/16,829.03 = 6,889.59/x
  3. Step 3: Cross multiply
    12,195.09x = 16,829.03 × 6,889.59
  4. Step 4: Simplify right side
    12,195.09x = 115,945,134.02
  5. Step 5: Solve for x
    x = 115,945,134.02/12,195.09
  6. Step 6: Final answer
    x = 9,507.53

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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.