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Finding the Fourth Proportional to 2,400.40, 3,600.71 and 757.07

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Solution

The fourth proportional to 2,400.40, 3,600.71 and 757.07 is: 1,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.40 : 3,600.71 = 757.07 : x
  2. Step 2: Convert to fraction form
    2,400.40/3,600.71 = 757.07/x
  3. Step 3: Cross multiply
    2,400.40x = 3,600.71 × 757.07
  4. Step 4: Simplify right side
    2,400.40x = 2,725,989.52
  5. Step 5: Solve for x
    x = 2,725,989.52/2,400.40
  6. Step 6: Final answer
    x = 1,135.64

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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.