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Finding the Fourth Proportional to 3,980.43, 5,973.74 and 2,756.42

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Solution

The fourth proportional to 3,980.43, 5,973.74 and 2,756.42 is: 4,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.43 : 5,973.74 = 2,756.42 : x
  2. Step 2: Convert to fraction form
    3,980.43/5,973.74 = 2,756.42/x
  3. Step 3: Cross multiply
    3,980.43x = 5,973.74 × 2,756.42
  4. Step 4: Simplify right side
    3,980.43x = 16,466,092.76
  5. Step 5: Solve for x
    x = 16,466,092.76/3,980.43
  6. Step 6: Final answer
    x = 4,136.76

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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.