Home / 3,777-5,664.42-1,586.22

Finding the Fourth Proportional to 3,777, 5,664.42 and 1,586.22

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Solution

The fourth proportional to 3,777, 5,664.42 and 1,586.22 is: 2,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 5,664.42 = 1,586.22 : x
  2. Step 2: Convert to fraction form
    3,777/5,664.42 = 1,586.22/x
  3. Step 3: Cross multiply
    3,777x = 5,664.42 × 1,586.22
  4. Step 4: Simplify right side
    3,777x = 8,985,016.29
  5. Step 5: Solve for x
    x = 8,985,016.29/3,777
  6. Step 6: Final answer
    x = 2,378.88

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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.