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Finding the Fourth Proportional to 3,581.51, 5,372.13 and 984.38

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Solution

The fourth proportional to 3,581.51, 5,372.13 and 984.38 is: 1,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.51 : 5,372.13 = 984.38 : x
  2. Step 2: Convert to fraction form
    3,581.51/5,372.13 = 984.38/x
  3. Step 3: Cross multiply
    3,581.51x = 5,372.13 × 984.38
  4. Step 4: Simplify right side
    3,581.51x = 5,288,217.33
  5. Step 5: Solve for x
    x = 5,288,217.33/3,581.51
  6. Step 6: Final answer
    x = 1,476.53

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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.