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Finding the Fourth Proportional to 3,804.87, 5,250.75 and 2,126.35

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Solution

The fourth proportional to 3,804.87, 5,250.75 and 2,126.35 is: 2,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.87 : 5,250.75 = 2,126.35 : x
  2. Step 2: Convert to fraction form
    3,804.87/5,250.75 = 2,126.35/x
  3. Step 3: Cross multiply
    3,804.87x = 5,250.75 × 2,126.35
  4. Step 4: Simplify right side
    3,804.87x = 11,164,919.14
  5. Step 5: Solve for x
    x = 11,164,919.14/3,804.87
  6. Step 6: Final answer
    x = 2,934.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.