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Finding the Fourth Proportional to 11,970.91, 17,956.37 and 3,205.60

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Solution

The fourth proportional to 11,970.91, 17,956.37 and 3,205.60 is: 4,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.91 : 17,956.37 = 3,205.60 : x
  2. Step 2: Convert to fraction form
    11,970.91/17,956.37 = 3,205.60/x
  3. Step 3: Cross multiply
    11,970.91x = 17,956.37 × 3,205.60
  4. Step 4: Simplify right side
    11,970.91x = 57,560,939.67
  5. Step 5: Solve for x
    x = 57,560,939.67/11,970.91
  6. Step 6: Final answer
    x = 4,808.40

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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.