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Finding the Fourth Proportional to 3,980.42, 5,973.74 and 2,756.41

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Solution

The fourth proportional to 3,980.42, 5,973.74 and 2,756.41 is: 4,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.42 : 5,973.74 = 2,756.41 : x
  2. Step 2: Convert to fraction form
    3,980.42/5,973.74 = 2,756.41/x
  3. Step 3: Cross multiply
    3,980.42x = 5,973.74 × 2,756.41
  4. Step 4: Simplify right side
    3,980.42x = 16,466,076.67
  5. Step 5: Solve for x
    x = 16,466,076.67/3,980.42
  6. Step 6: Final answer
    x = 4,136.77

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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.