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Finding the Fourth Proportional to 11,979, 17,953.50 and 6,418.56

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Solution

The fourth proportional to 11,979, 17,953.50 and 6,418.56 is: 9,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,979 : 17,953.50 = 6,418.56 : x
  2. Step 2: Convert to fraction form
    11,979/17,953.50 = 6,418.56/x
  3. Step 3: Cross multiply
    11,979x = 17,953.50 × 6,418.56
  4. Step 4: Simplify right side
    11,979x = 115,235,616.96
  5. Step 5: Solve for x
    x = 115,235,616.96/11,979
  6. Step 6: Final answer
    x = 9,619.80

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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.