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Finding the Fourth Proportional to 3,980.70, 5,971.05 and 2,517.84

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Solution

The fourth proportional to 3,980.70, 5,971.05 and 2,517.84 is: 3,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.70 : 5,971.05 = 2,517.84 : x
  2. Step 2: Convert to fraction form
    3,980.70/5,971.05 = 2,517.84/x
  3. Step 3: Cross multiply
    3,980.70x = 5,971.05 × 2,517.84
  4. Step 4: Simplify right side
    3,980.70x = 15,034,148.53
  5. Step 5: Solve for x
    x = 15,034,148.53/3,980.70
  6. Step 6: Final answer
    x = 3,776.76

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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.