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Finding the Fourth Proportional to 11,902.93, 17,855.12 and 4,004.78

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Solution

The fourth proportional to 11,902.93, 17,855.12 and 4,004.78 is: 6,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.93 : 17,855.12 = 4,004.78 : x
  2. Step 2: Convert to fraction form
    11,902.93/17,855.12 = 4,004.78/x
  3. Step 3: Cross multiply
    11,902.93x = 17,855.12 × 4,004.78
  4. Step 4: Simplify right side
    11,902.93x = 71,505,892.82
  5. Step 5: Solve for x
    x = 71,505,892.82/11,902.93
  6. Step 6: Final answer
    x = 6,007.42

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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.