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Finding the Fourth Proportional to 12,476.68, 17,213.69 and 8,229.85

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Solution

The fourth proportional to 12,476.68, 17,213.69 and 8,229.85 is: 11,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.68 : 17,213.69 = 8,229.85 : x
  2. Step 2: Convert to fraction form
    12,476.68/17,213.69 = 8,229.85/x
  3. Step 3: Cross multiply
    12,476.68x = 17,213.69 × 8,229.85
  4. Step 4: Simplify right side
    12,476.68x = 141,666,137.87
  5. Step 5: Solve for x
    x = 141,666,137.87/12,476.68
  6. Step 6: Final answer
    x = 11,354.47

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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.