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Finding the Fourth Proportional to 11,925.88, 17,889 and 4,134.85

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Solution

The fourth proportional to 11,925.88, 17,889 and 4,134.85 is: 6,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.88 : 17,889 = 4,134.85 : x
  2. Step 2: Convert to fraction form
    11,925.88/17,889 = 4,134.85/x
  3. Step 3: Cross multiply
    11,925.88x = 17,889 × 4,134.85
  4. Step 4: Simplify right side
    11,925.88x = 73,968,331.65
  5. Step 5: Solve for x
    x = 73,968,331.65/11,925.88
  6. Step 6: Final answer
    x = 6,202.34

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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.