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Finding the Fourth Proportional to 11,978.65, 17,976.12 and 4,187.44

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Solution

The fourth proportional to 11,978.65, 17,976.12 and 4,187.44 is: 6,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.65 : 17,976.12 = 4,187.44 : x
  2. Step 2: Convert to fraction form
    11,978.65/17,976.12 = 4,187.44/x
  3. Step 3: Cross multiply
    11,978.65x = 17,976.12 × 4,187.44
  4. Step 4: Simplify right side
    11,978.65x = 75,273,923.93
  5. Step 5: Solve for x
    x = 75,273,923.93/11,978.65
  6. Step 6: Final answer
    x = 6,284.01

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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.