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Finding the Fourth Proportional to 3,830.67, 5,736.24 and 3,509.91

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Solution

The fourth proportional to 3,830.67, 5,736.24 and 3,509.91 is: 5,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.67 : 5,736.24 = 3,509.91 : x
  2. Step 2: Convert to fraction form
    3,830.67/5,736.24 = 3,509.91/x
  3. Step 3: Cross multiply
    3,830.67x = 5,736.24 × 3,509.91
  4. Step 4: Simplify right side
    3,830.67x = 20,133,686.14
  5. Step 5: Solve for x
    x = 20,133,686.14/3,830.67
  6. Step 6: Final answer
    x = 5,255.92

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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.