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Finding the Fourth Proportional to 3,980.41, 5,492.80 and 2,212

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Solution

The fourth proportional to 3,980.41, 5,492.80 and 2,212 is: 3,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.41 : 5,492.80 = 2,212 : x
  2. Step 2: Convert to fraction form
    3,980.41/5,492.80 = 2,212/x
  3. Step 3: Cross multiply
    3,980.41x = 5,492.80 × 2,212
  4. Step 4: Simplify right side
    3,980.41x = 12,150,073.60
  5. Step 5: Solve for x
    x = 12,150,073.60/3,980.41
  6. Step 6: Final answer
    x = 3,052.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.