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Finding the Fourth Proportional to 3,786.32, 5,680.24 and 1,593.76

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Solution

The fourth proportional to 3,786.32, 5,680.24 and 1,593.76 is: 2,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.32 : 5,680.24 = 1,593.76 : x
  2. Step 2: Convert to fraction form
    3,786.32/5,680.24 = 1,593.76/x
  3. Step 3: Cross multiply
    3,786.32x = 5,680.24 × 1,593.76
  4. Step 4: Simplify right side
    3,786.32x = 9,052,939.30
  5. Step 5: Solve for x
    x = 9,052,939.30/3,786.32
  6. Step 6: Final answer
    x = 2,390.96

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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.