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Finding the Fourth Proportional to 3,640.75, 5,024.24 and 1,984.75

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Solution

The fourth proportional to 3,640.75, 5,024.24 and 1,984.75 is: 2,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.75 : 5,024.24 = 1,984.75 : x
  2. Step 2: Convert to fraction form
    3,640.75/5,024.24 = 1,984.75/x
  3. Step 3: Cross multiply
    3,640.75x = 5,024.24 × 1,984.75
  4. Step 4: Simplify right side
    3,640.75x = 9,971,860.34
  5. Step 5: Solve for x
    x = 9,971,860.34/3,640.75
  6. Step 6: Final answer
    x = 2,738.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.