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Finding the Fourth Proportional to 11,906.62, 17,858.10 and 3,142.22

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Solution

The fourth proportional to 11,906.62, 17,858.10 and 3,142.22 is: 4,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.62 : 17,858.10 = 3,142.22 : x
  2. Step 2: Convert to fraction form
    11,906.62/17,858.10 = 3,142.22/x
  3. Step 3: Cross multiply
    11,906.62x = 17,858.10 × 3,142.22
  4. Step 4: Simplify right side
    11,906.62x = 56,114,051.70
  5. Step 5: Solve for x
    x = 56,114,051.70/11,906.62
  6. Step 6: Final answer
    x = 4,712.84

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1.5x scale

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.