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Finding the Fourth Proportional to 11,889.61, 17,827.74 and 8,145.62

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Solution

The fourth proportional to 11,889.61, 17,827.74 and 8,145.62 is: 12,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.61 : 17,827.74 = 8,145.62 : x
  2. Step 2: Convert to fraction form
    11,889.61/17,827.74 = 8,145.62/x
  3. Step 3: Cross multiply
    11,889.61x = 17,827.74 × 8,145.62
  4. Step 4: Simplify right side
    11,889.61x = 145,217,995.50
  5. Step 5: Solve for x
    x = 145,217,995.50/11,889.61
  6. Step 6: Final answer
    x = 12,213.86

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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.