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Finding the Fourth Proportional to 3,837.99, 5,759.72 and 1,647.35

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Solution

The fourth proportional to 3,837.99, 5,759.72 and 1,647.35 is: 2,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.99 : 5,759.72 = 1,647.35 : x
  2. Step 2: Convert to fraction form
    3,837.99/5,759.72 = 1,647.35/x
  3. Step 3: Cross multiply
    3,837.99x = 5,759.72 × 1,647.35
  4. Step 4: Simplify right side
    3,837.99x = 9,488,250.06
  5. Step 5: Solve for x
    x = 9,488,250.06/3,837.99
  6. Step 6: Final answer
    x = 2,472.19

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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.