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Finding the Fourth Proportional to 12,899.28, 17,800.38 and 8,414.31

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Solution

The fourth proportional to 12,899.28, 17,800.38 and 8,414.31 is: 11,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.28 : 17,800.38 = 8,414.31 : x
  2. Step 2: Convert to fraction form
    12,899.28/17,800.38 = 8,414.31/x
  3. Step 3: Cross multiply
    12,899.28x = 17,800.38 × 8,414.31
  4. Step 4: Simplify right side
    12,899.28x = 149,777,915.44
  5. Step 5: Solve for x
    x = 149,777,915.44/12,899.28
  6. Step 6: Final answer
    x = 11,611.34

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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.