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Finding the Fourth Proportional to 12,169.50, 16,796.60 and 7,913.16

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Solution

The fourth proportional to 12,169.50, 16,796.60 and 7,913.16 is: 10,921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.50 : 16,796.60 = 7,913.16 : x
  2. Step 2: Convert to fraction form
    12,169.50/16,796.60 = 7,913.16/x
  3. Step 3: Cross multiply
    12,169.50x = 16,796.60 × 7,913.16
  4. Step 4: Simplify right side
    12,169.50x = 132,914,183.26
  5. Step 5: Solve for x
    x = 132,914,183.26/12,169.50
  6. Step 6: Final answer
    x = 10,921.91

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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.