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Finding the Fourth Proportional to 3,077.44, 4,609.44 and 2,489.92

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Solution

The fourth proportional to 3,077.44, 4,609.44 and 2,489.92 is: 3,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.44 : 4,609.44 = 2,489.92 : x
  2. Step 2: Convert to fraction form
    3,077.44/4,609.44 = 2,489.92/x
  3. Step 3: Cross multiply
    3,077.44x = 4,609.44 × 2,489.92
  4. Step 4: Simplify right side
    3,077.44x = 11,477,136.84
  5. Step 5: Solve for x
    x = 11,477,136.84/3,077.44
  6. Step 6: Final answer
    x = 3,729.44

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1.5x scale

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.