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Finding the Fourth Proportional to 3,676.75, 5,515.13 and 940.75

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Solution

The fourth proportional to 3,676.75, 5,515.13 and 940.75 is: 1,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.75 : 5,515.13 = 940.75 : x
  2. Step 2: Convert to fraction form
    3,676.75/5,515.13 = 940.75/x
  3. Step 3: Cross multiply
    3,676.75x = 5,515.13 × 940.75
  4. Step 4: Simplify right side
    3,676.75x = 5,188,353.84
  5. Step 5: Solve for x
    x = 5,188,353.84/3,676.75
  6. Step 6: Final answer
    x = 1,411.13

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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.