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Finding the Fourth Proportional to 3,754.70, 5,632.91 and 1,808.54

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Solution

The fourth proportional to 3,754.70, 5,632.91 and 1,808.54 is: 2,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.70 : 5,632.91 = 1,808.54 : x
  2. Step 2: Convert to fraction form
    3,754.70/5,632.91 = 1,808.54/x
  3. Step 3: Cross multiply
    3,754.70x = 5,632.91 × 1,808.54
  4. Step 4: Simplify right side
    3,754.70x = 10,187,343.05
  5. Step 5: Solve for x
    x = 10,187,343.05/3,754.70
  6. Step 6: Final answer
    x = 2,713.22

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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.