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Finding the Fourth Proportional to 11,960.50, 16,505.49 and 6,992.50

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Solution

The fourth proportional to 11,960.50, 16,505.49 and 6,992.50 is: 9,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.50 : 16,505.49 = 6,992.50 : x
  2. Step 2: Convert to fraction form
    11,960.50/16,505.49 = 6,992.50/x
  3. Step 3: Cross multiply
    11,960.50x = 16,505.49 × 6,992.50
  4. Step 4: Simplify right side
    11,960.50x = 115,414,638.83
  5. Step 5: Solve for x
    x = 115,414,638.83/11,960.50
  6. Step 6: Final answer
    x = 9,649.65

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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.