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Finding the Fourth Proportional to 3,305.76, 4,961.88 and 3,290.37

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Solution

The fourth proportional to 3,305.76, 4,961.88 and 3,290.37 is: 4,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.76 : 4,961.88 = 3,290.37 : x
  2. Step 2: Convert to fraction form
    3,305.76/4,961.88 = 3,290.37/x
  3. Step 3: Cross multiply
    3,305.76x = 4,961.88 × 3,290.37
  4. Step 4: Simplify right side
    3,305.76x = 16,326,421.10
  5. Step 5: Solve for x
    x = 16,326,421.10/3,305.76
  6. Step 6: Final answer
    x = 4,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.