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Finding the Fourth Proportional to 3,830.26, 5,748.10 and 1,640.52

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Solution

The fourth proportional to 3,830.26, 5,748.10 and 1,640.52 is: 2,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.26 : 5,748.10 = 1,640.52 : x
  2. Step 2: Convert to fraction form
    3,830.26/5,748.10 = 1,640.52/x
  3. Step 3: Cross multiply
    3,830.26x = 5,748.10 × 1,640.52
  4. Step 4: Simplify right side
    3,830.26x = 9,429,873.01
  5. Step 5: Solve for x
    x = 9,429,873.01/3,830.26
  6. Step 6: Final answer
    x = 2,461.94

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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.