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Finding the Fourth Proportional to 3,394.62, 5,091.84 and 1,421.31

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Solution

The fourth proportional to 3,394.62, 5,091.84 and 1,421.31 is: 2,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.62 : 5,091.84 = 1,421.31 : x
  2. Step 2: Convert to fraction form
    3,394.62/5,091.84 = 1,421.31/x
  3. Step 3: Cross multiply
    3,394.62x = 5,091.84 × 1,421.31
  4. Step 4: Simplify right side
    3,394.62x = 7,237,083.11
  5. Step 5: Solve for x
    x = 7,237,083.11/3,394.62
  6. Step 6: Final answer
    x = 2,131.93

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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.