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Finding the Fourth Proportional to 11,940.57, 17,909.49 and 3,176.16

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Solution

The fourth proportional to 11,940.57, 17,909.49 and 3,176.16 is: 4,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.57 : 17,909.49 = 3,176.16 : x
  2. Step 2: Convert to fraction form
    11,940.57/17,909.49 = 3,176.16/x
  3. Step 3: Cross multiply
    11,940.57x = 17,909.49 × 3,176.16
  4. Step 4: Simplify right side
    11,940.57x = 56,883,405.76
  5. Step 5: Solve for x
    x = 56,883,405.76/11,940.57
  6. Step 6: Final answer
    x = 4,763.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.