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Finding the Fourth Proportional to 12,940.28, 17,847.30 and 8,398

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Solution

The fourth proportional to 12,940.28, 17,847.30 and 8,398 is: 11,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.28 : 17,847.30 = 8,398 : x
  2. Step 2: Convert to fraction form
    12,940.28/17,847.30 = 8,398/x
  3. Step 3: Cross multiply
    12,940.28x = 17,847.30 × 8,398
  4. Step 4: Simplify right side
    12,940.28x = 149,881,625.40
  5. Step 5: Solve for x
    x = 149,881,625.40/12,940.28
  6. Step 6: Final answer
    x = 11,582.56

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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.