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Finding the Fourth Proportional to 2,770, 4,149.67 and 2,181.89

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Solution

The fourth proportional to 2,770, 4,149.67 and 2,181.89 is: 3,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770 : 4,149.67 = 2,181.89 : x
  2. Step 2: Convert to fraction form
    2,770/4,149.67 = 2,181.89/x
  3. Step 3: Cross multiply
    2,770x = 4,149.67 × 2,181.89
  4. Step 4: Simplify right side
    2,770x = 9,054,123.48
  5. Step 5: Solve for x
    x = 9,054,123.48/2,770
  6. Step 6: Final answer
    x = 3,268.64

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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.