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Finding the Fourth Proportional to 3,624.43, 5,436.67 and 991.88

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Solution

The fourth proportional to 3,624.43, 5,436.67 and 991.88 is: 1,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.43 : 5,436.67 = 991.88 : x
  2. Step 2: Convert to fraction form
    3,624.43/5,436.67 = 991.88/x
  3. Step 3: Cross multiply
    3,624.43x = 5,436.67 × 991.88
  4. Step 4: Simplify right side
    3,624.43x = 5,392,524.24
  5. Step 5: Solve for x
    x = 5,392,524.24/3,624.43
  6. Step 6: Final answer
    x = 1,487.83

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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.