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Finding the Fourth Proportional to 11,755, 16,207.50 and 9,229.24

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Solution

The fourth proportional to 11,755, 16,207.50 and 9,229.24 is: 12,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755 : 16,207.50 = 9,229.24 : x
  2. Step 2: Convert to fraction form
    11,755/16,207.50 = 9,229.24/x
  3. Step 3: Cross multiply
    11,755x = 16,207.50 × 9,229.24
  4. Step 4: Simplify right side
    11,755x = 149,582,907.30
  5. Step 5: Solve for x
    x = 149,582,907.30/11,755
  6. Step 6: Final answer
    x = 12,725.05

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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.