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Finding the Fourth Proportional to 11,986.76, 17,980.13 and 3,221.68

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Solution

The fourth proportional to 11,986.76, 17,980.13 and 3,221.68 is: 4,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.76 : 17,980.13 = 3,221.68 : x
  2. Step 2: Convert to fraction form
    11,986.76/17,980.13 = 3,221.68/x
  3. Step 3: Cross multiply
    11,986.76x = 17,980.13 × 3,221.68
  4. Step 4: Simplify right side
    11,986.76x = 57,926,119.21
  5. Step 5: Solve for x
    x = 57,926,119.21/11,986.76
  6. Step 6: Final answer
    x = 4,832.51

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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.