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Finding the Fourth Proportional to 2,606.28, 3,909.44 and 757.41

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Solution

The fourth proportional to 2,606.28, 3,909.44 and 757.41 is: 1,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.28 : 3,909.44 = 757.41 : x
  2. Step 2: Convert to fraction form
    2,606.28/3,909.44 = 757.41/x
  3. Step 3: Cross multiply
    2,606.28x = 3,909.44 × 757.41
  4. Step 4: Simplify right side
    2,606.28x = 2,961,045.16
  5. Step 5: Solve for x
    x = 2,961,045.16/2,606.28
  6. Step 6: Final answer
    x = 1,136.12

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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.