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Finding the Fourth Proportional to 3,857.09, 5,751.76 and 3,822.00

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Solution

The fourth proportional to 3,857.09, 5,751.76 and 3,822.00 is: 5,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.09 : 5,751.76 = 3,822.00 : x
  2. Step 2: Convert to fraction form
    3,857.09/5,751.76 = 3,822.00/x
  3. Step 3: Cross multiply
    3,857.09x = 5,751.76 × 3,822.00
  4. Step 4: Simplify right side
    3,857.09x = 21,983,235.12
  5. Step 5: Solve for x
    x = 21,983,235.12/3,857.09
  6. Step 6: Final answer
    x = 5,699.44

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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.