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Finding the Fourth Proportional to 3,757.82, 5,636.28 and 984.75

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Solution

The fourth proportional to 3,757.82, 5,636.28 and 984.75 is: 1,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.82 : 5,636.28 = 984.75 : x
  2. Step 2: Convert to fraction form
    3,757.82/5,636.28 = 984.75/x
  3. Step 3: Cross multiply
    3,757.82x = 5,636.28 × 984.75
  4. Step 4: Simplify right side
    3,757.82x = 5,550,326.73
  5. Step 5: Solve for x
    x = 5,550,326.73/3,757.82
  6. Step 6: Final answer
    x = 1,477.01

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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.