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Finding the Fourth Proportional to 11,970, 17,940 and 6,409.56

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Solution

The fourth proportional to 11,970, 17,940 and 6,409.56 is: 9,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 17,940 = 6,409.56 : x
  2. Step 2: Convert to fraction form
    11,970/17,940 = 6,409.56/x
  3. Step 3: Cross multiply
    11,970x = 17,940 × 6,409.56
  4. Step 4: Simplify right side
    11,970x = 114,987,506.40
  5. Step 5: Solve for x
    x = 114,987,506.40/11,970
  6. Step 6: Final answer
    x = 9,606.31

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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.