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Finding the Fourth Proportional to 12,204.92, 16,839.96 and 8,431.40

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Solution

The fourth proportional to 12,204.92, 16,839.96 and 8,431.40 is: 11,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.92 : 16,839.96 = 8,431.40 : x
  2. Step 2: Convert to fraction form
    12,204.92/16,839.96 = 8,431.40/x
  3. Step 3: Cross multiply
    12,204.92x = 16,839.96 × 8,431.40
  4. Step 4: Simplify right side
    12,204.92x = 141,984,438.74
  5. Step 5: Solve for x
    x = 141,984,438.74/12,204.92
  6. Step 6: Final answer
    x = 11,633.38

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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.