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Finding the Fourth Proportional to 7,687.91, 11,529.74 and 3,006.97

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Solution

The fourth proportional to 7,687.91, 11,529.74 and 3,006.97 is: 4,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.91 : 11,529.74 = 3,006.97 : x
  2. Step 2: Convert to fraction form
    7,687.91/11,529.74 = 3,006.97/x
  3. Step 3: Cross multiply
    7,687.91x = 11,529.74 × 3,006.97
  4. Step 4: Simplify right side
    7,687.91x = 34,669,625.84
  5. Step 5: Solve for x
    x = 34,669,625.84/7,687.91
  6. Step 6: Final answer
    x = 4,509.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.