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Finding the Fourth Proportional to 12,147.09, 18,220.64 and 6,949.32

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Solution

The fourth proportional to 12,147.09, 18,220.64 and 6,949.32 is: 10,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.09 : 18,220.64 = 6,949.32 : x
  2. Step 2: Convert to fraction form
    12,147.09/18,220.64 = 6,949.32/x
  3. Step 3: Cross multiply
    12,147.09x = 18,220.64 × 6,949.32
  4. Step 4: Simplify right side
    12,147.09x = 126,621,057.96
  5. Step 5: Solve for x
    x = 126,621,057.96/12,147.09
  6. Step 6: Final answer
    x = 10,423.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.