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Finding the Fourth Proportional to 11,878.42, 17,794.92 and 7,199.86

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Solution

The fourth proportional to 11,878.42, 17,794.92 and 7,199.86 is: 10,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.42 : 17,794.92 = 7,199.86 : x
  2. Step 2: Convert to fraction form
    11,878.42/17,794.92 = 7,199.86/x
  3. Step 3: Cross multiply
    11,878.42x = 17,794.92 × 7,199.86
  4. Step 4: Simplify right side
    11,878.42x = 128,120,932.71
  5. Step 5: Solve for x
    x = 128,120,932.71/11,878.42
  6. Step 6: Final answer
    x = 10,786.02

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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.