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Finding the Fourth Proportional to 3,834.58, 5,747.07 and 1,640.74

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Solution

The fourth proportional to 3,834.58, 5,747.07 and 1,640.74 is: 2,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.58 : 5,747.07 = 1,640.74 : x
  2. Step 2: Convert to fraction form
    3,834.58/5,747.07 = 1,640.74/x
  3. Step 3: Cross multiply
    3,834.58x = 5,747.07 × 1,640.74
  4. Step 4: Simplify right side
    3,834.58x = 9,429,447.63
  5. Step 5: Solve for x
    x = 9,429,447.63/3,834.58
  6. Step 6: Final answer
    x = 2,459.06

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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.