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Finding the Fourth Proportional to 12,375, 18,516 and 8,684.43

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Solution

The fourth proportional to 12,375, 18,516 and 8,684.43 is: 12,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 18,516 = 8,684.43 : x
  2. Step 2: Convert to fraction form
    12,375/18,516 = 8,684.43/x
  3. Step 3: Cross multiply
    12,375x = 18,516 × 8,684.43
  4. Step 4: Simplify right side
    12,375x = 160,800,905.88
  5. Step 5: Solve for x
    x = 160,800,905.88/12,375
  6. Step 6: Final answer
    x = 12,994.01

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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.