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Finding the Fourth Proportional to 11,788.16, 17,680.80 and 3,996.80

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Solution

The fourth proportional to 11,788.16, 17,680.80 and 3,996.80 is: 5,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.16 : 17,680.80 = 3,996.80 : x
  2. Step 2: Convert to fraction form
    11,788.16/17,680.80 = 3,996.80/x
  3. Step 3: Cross multiply
    11,788.16x = 17,680.80 × 3,996.80
  4. Step 4: Simplify right side
    11,788.16x = 70,666,621.44
  5. Step 5: Solve for x
    x = 70,666,621.44/11,788.16
  6. Step 6: Final answer
    x = 5,994.71

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1.5x scale

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.