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Finding the Fourth Proportional to 10,942.43, 16,414.64 and 8,480.01

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Solution

The fourth proportional to 10,942.43, 16,414.64 and 8,480.01 is: 12,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.43 : 16,414.64 = 8,480.01 : x
  2. Step 2: Convert to fraction form
    10,942.43/16,414.64 = 8,480.01/x
  3. Step 3: Cross multiply
    10,942.43x = 16,414.64 × 8,480.01
  4. Step 4: Simplify right side
    10,942.43x = 139,196,268.95
  5. Step 5: Solve for x
    x = 139,196,268.95/10,942.43
  6. Step 6: Final answer
    x = 12,720.78

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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.