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Finding the Fourth Proportional to 11,937.92, 16,466.92 and 7,687.56

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Solution

The fourth proportional to 11,937.92, 16,466.92 and 7,687.56 is: 10,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.92 : 16,466.92 = 7,687.56 : x
  2. Step 2: Convert to fraction form
    11,937.92/16,466.92 = 7,687.56/x
  3. Step 3: Cross multiply
    11,937.92x = 16,466.92 × 7,687.56
  4. Step 4: Simplify right side
    11,937.92x = 126,590,435.52
  5. Step 5: Solve for x
    x = 126,590,435.52/11,937.92
  6. Step 6: Final answer
    x = 10,604.06

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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.