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Finding the Fourth Proportional to 3,980.90, 5,971.96 and 1,207.22

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Solution

The fourth proportional to 3,980.90, 5,971.96 and 1,207.22 is: 1,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.90 : 5,971.96 = 1,207.22 : x
  2. Step 2: Convert to fraction form
    3,980.90/5,971.96 = 1,207.22/x
  3. Step 3: Cross multiply
    3,980.90x = 5,971.96 × 1,207.22
  4. Step 4: Simplify right side
    3,980.90x = 7,209,469.55
  5. Step 5: Solve for x
    x = 7,209,469.55/3,980.90
  6. Step 6: Final answer
    x = 1,811.01

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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.