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Finding the Fourth Proportional to 3,774.70, 5,662.05 and 1,828.54

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Solution

The fourth proportional to 3,774.70, 5,662.05 and 1,828.54 is: 2,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.70 : 5,662.05 = 1,828.54 : x
  2. Step 2: Convert to fraction form
    3,774.70/5,662.05 = 1,828.54/x
  3. Step 3: Cross multiply
    3,774.70x = 5,662.05 × 1,828.54
  4. Step 4: Simplify right side
    3,774.70x = 10,353,284.91
  5. Step 5: Solve for x
    x = 10,353,284.91/3,774.70
  6. Step 6: Final answer
    x = 2,742.81

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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.