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Finding the Fourth Proportional to 11,916, 17,871.45 and 4,517.87

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Solution

The fourth proportional to 11,916, 17,871.45 and 4,517.87 is: 6,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916 : 17,871.45 = 4,517.87 : x
  2. Step 2: Convert to fraction form
    11,916/17,871.45 = 4,517.87/x
  3. Step 3: Cross multiply
    11,916x = 17,871.45 × 4,517.87
  4. Step 4: Simplify right side
    11,916x = 80,740,798.45
  5. Step 5: Solve for x
    x = 80,740,798.45/11,916
  6. Step 6: Final answer
    x = 6,775.83

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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.