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Finding the Fourth Proportional to 12,426.66, 18,640 and 8,519.22

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Solution

The fourth proportional to 12,426.66, 18,640 and 8,519.22 is: 12,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.66 : 18,640 = 8,519.22 : x
  2. Step 2: Convert to fraction form
    12,426.66/18,640 = 8,519.22/x
  3. Step 3: Cross multiply
    12,426.66x = 18,640 × 8,519.22
  4. Step 4: Simplify right side
    12,426.66x = 158,798,260.80
  5. Step 5: Solve for x
    x = 158,798,260.80/12,426.66
  6. Step 6: Final answer
    x = 12,778.84

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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.