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Finding the Fourth Proportional to 2,489.28, 3,734.24 and 757.60

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Solution

The fourth proportional to 2,489.28, 3,734.24 and 757.60 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.28 : 3,734.24 = 757.60 : x
  2. Step 2: Convert to fraction form
    2,489.28/3,734.24 = 757.60/x
  3. Step 3: Cross multiply
    2,489.28x = 3,734.24 × 757.60
  4. Step 4: Simplify right side
    2,489.28x = 2,829,060.22
  5. Step 5: Solve for x
    x = 2,829,060.22/2,489.28
  6. Step 6: Final answer
    x = 1,136.50

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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.