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Finding the Fourth Proportional to 8,940.75, 12,335.12 and 5,163.82

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Solution

The fourth proportional to 8,940.75, 12,335.12 and 5,163.82 is: 7,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.75 : 12,335.12 = 5,163.82 : x
  2. Step 2: Convert to fraction form
    8,940.75/12,335.12 = 5,163.82/x
  3. Step 3: Cross multiply
    8,940.75x = 12,335.12 × 5,163.82
  4. Step 4: Simplify right side
    8,940.75x = 63,696,302.07
  5. Step 5: Solve for x
    x = 63,696,302.07/8,940.75
  6. Step 6: Final answer
    x = 7,124.27

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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.