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Finding the Fourth Proportional to 3,857.91, 5,757.29 and 3,442.65

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Solution

The fourth proportional to 3,857.91, 5,757.29 and 3,442.65 is: 5,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.91 : 5,757.29 = 3,442.65 : x
  2. Step 2: Convert to fraction form
    3,857.91/5,757.29 = 3,442.65/x
  3. Step 3: Cross multiply
    3,857.91x = 5,757.29 × 3,442.65
  4. Step 4: Simplify right side
    3,857.91x = 19,820,317.21
  5. Step 5: Solve for x
    x = 19,820,317.21/3,857.91
  6. Step 6: Final answer
    x = 5,137.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.