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Finding the Fourth Proportional to 8,671.82, 13,011 and 5,163.84

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Solution

The fourth proportional to 8,671.82, 13,011 and 5,163.84 is: 7,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.82 : 13,011 = 5,163.84 : x
  2. Step 2: Convert to fraction form
    8,671.82/13,011 = 5,163.84/x
  3. Step 3: Cross multiply
    8,671.82x = 13,011 × 5,163.84
  4. Step 4: Simplify right side
    8,671.82x = 67,186,722.24
  5. Step 5: Solve for x
    x = 67,186,722.24/8,671.82
  6. Step 6: Final answer
    x = 7,747.71

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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.