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Finding the Fourth Proportional to 7,356, 11,027.79 and 3,192.87

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Solution

The fourth proportional to 7,356, 11,027.79 and 3,192.87 is: 4,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356 : 11,027.79 = 3,192.87 : x
  2. Step 2: Convert to fraction form
    7,356/11,027.79 = 3,192.87/x
  3. Step 3: Cross multiply
    7,356x = 11,027.79 × 3,192.87
  4. Step 4: Simplify right side
    7,356x = 35,210,299.86
  5. Step 5: Solve for x
    x = 35,210,299.86/7,356
  6. Step 6: Final answer
    x = 4,786.61

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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.