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Finding the Fourth Proportional to 2,607.20, 3,910.37 and 757.92

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Solution

The fourth proportional to 2,607.20, 3,910.37 and 757.92 is: 1,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.20 : 3,910.37 = 757.92 : x
  2. Step 2: Convert to fraction form
    2,607.20/3,910.37 = 757.92/x
  3. Step 3: Cross multiply
    2,607.20x = 3,910.37 × 757.92
  4. Step 4: Simplify right side
    2,607.20x = 2,963,749.53
  5. Step 5: Solve for x
    x = 2,963,749.53/2,607.20
  6. Step 6: Final answer
    x = 1,136.76

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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.