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Finding the Fourth Proportional to 3,675.80, 5,072.63 and 2,103.86

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Solution

The fourth proportional to 3,675.80, 5,072.63 and 2,103.86 is: 2,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.80 : 5,072.63 = 2,103.86 : x
  2. Step 2: Convert to fraction form
    3,675.80/5,072.63 = 2,103.86/x
  3. Step 3: Cross multiply
    3,675.80x = 5,072.63 × 2,103.86
  4. Step 4: Simplify right side
    3,675.80x = 10,672,067.47
  5. Step 5: Solve for x
    x = 10,672,067.47/3,675.80
  6. Step 6: Final answer
    x = 2,903.34

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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.