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Finding the Fourth Proportional to 11,910, 17,865 and 8,158.08

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Solution

The fourth proportional to 11,910, 17,865 and 8,158.08 is: 12,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910 : 17,865 = 8,158.08 : x
  2. Step 2: Convert to fraction form
    11,910/17,865 = 8,158.08/x
  3. Step 3: Cross multiply
    11,910x = 17,865 × 8,158.08
  4. Step 4: Simplify right side
    11,910x = 145,744,099.20
  5. Step 5: Solve for x
    x = 145,744,099.20/11,910
  6. Step 6: Final answer
    x = 12,237.12

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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.