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Finding the Fourth Proportional to 3,834.74, 5,747.30 and 1,640.89

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Solution

The fourth proportional to 3,834.74, 5,747.30 and 1,640.89 is: 2,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.74 : 5,747.30 = 1,640.89 : x
  2. Step 2: Convert to fraction form
    3,834.74/5,747.30 = 1,640.89/x
  3. Step 3: Cross multiply
    3,834.74x = 5,747.30 × 1,640.89
  4. Step 4: Simplify right side
    3,834.74x = 9,430,687.10
  5. Step 5: Solve for x
    x = 9,430,687.10/3,834.74
  6. Step 6: Final answer
    x = 2,459.28

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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.