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Finding the Fourth Proportional to 8,141, 11,234.64 and 4,415

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Solution

The fourth proportional to 8,141, 11,234.64 and 4,415 is: 6,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141 : 11,234.64 = 4,415 : x
  2. Step 2: Convert to fraction form
    8,141/11,234.64 = 4,415/x
  3. Step 3: Cross multiply
    8,141x = 11,234.64 × 4,415
  4. Step 4: Simplify right side
    8,141x = 49,600,935.60
  5. Step 5: Solve for x
    x = 49,600,935.60/8,141
  6. Step 6: Final answer
    x = 6,092.73

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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.