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Finding the Fourth Proportional to 3,699.27, 5,103.27 and 2,281.77

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Solution

The fourth proportional to 3,699.27, 5,103.27 and 2,281.77 is: 3,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.27 : 5,103.27 = 2,281.77 : x
  2. Step 2: Convert to fraction form
    3,699.27/5,103.27 = 2,281.77/x
  3. Step 3: Cross multiply
    3,699.27x = 5,103.27 × 2,281.77
  4. Step 4: Simplify right side
    3,699.27x = 11,644,488.39
  5. Step 5: Solve for x
    x = 11,644,488.39/3,699.27
  6. Step 6: Final answer
    x = 3,147.78

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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.