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Finding the Fourth Proportional to 3,983.50, 5,975.25 and 1,675

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Solution

The fourth proportional to 3,983.50, 5,975.25 and 1,675 is: 2,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.50 : 5,975.25 = 1,675 : x
  2. Step 2: Convert to fraction form
    3,983.50/5,975.25 = 1,675/x
  3. Step 3: Cross multiply
    3,983.50x = 5,975.25 × 1,675
  4. Step 4: Simplify right side
    3,983.50x = 10,008,543.75
  5. Step 5: Solve for x
    x = 10,008,543.75/3,983.50
  6. Step 6: Final answer
    x = 2,512.50

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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.