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Finding the Fourth Proportional to 11,980.74, 17,974.05 and 3,660.90

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Solution

The fourth proportional to 11,980.74, 17,974.05 and 3,660.90 is: 5,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.74 : 17,974.05 = 3,660.90 : x
  2. Step 2: Convert to fraction form
    11,980.74/17,974.05 = 3,660.90/x
  3. Step 3: Cross multiply
    11,980.74x = 17,974.05 × 3,660.90
  4. Step 4: Simplify right side
    11,980.74x = 65,801,199.65
  5. Step 5: Solve for x
    x = 65,801,199.65/11,980.74
  6. Step 6: Final answer
    x = 5,492.25

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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.