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Finding the Fourth Proportional to 4,157.99, 6,238.07 and 3,418.82

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Solution

The fourth proportional to 4,157.99, 6,238.07 and 3,418.82 is: 5,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.99 : 6,238.07 = 3,418.82 : x
  2. Step 2: Convert to fraction form
    4,157.99/6,238.07 = 3,418.82/x
  3. Step 3: Cross multiply
    4,157.99x = 6,238.07 × 3,418.82
  4. Step 4: Simplify right side
    4,157.99x = 21,326,821.38
  5. Step 5: Solve for x
    x = 21,326,821.38/4,157.99
  6. Step 6: Final answer
    x = 5,129.12

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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.