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Finding the Fourth Proportional to 3,801, 5,245.38 and 2,145

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Solution

The fourth proportional to 3,801, 5,245.38 and 2,145 is: 2,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801 : 5,245.38 = 2,145 : x
  2. Step 2: Convert to fraction form
    3,801/5,245.38 = 2,145/x
  3. Step 3: Cross multiply
    3,801x = 5,245.38 × 2,145
  4. Step 4: Simplify right side
    3,801x = 11,251,340.10
  5. Step 5: Solve for x
    x = 11,251,340.10/3,801
  6. Step 6: Final answer
    x = 2,960.10

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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.