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Finding the Fourth Proportional to 2,489.40, 3,734.87 and 1,394.55

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Solution

The fourth proportional to 2,489.40, 3,734.87 and 1,394.55 is: 2,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.40 : 3,734.87 = 1,394.55 : x
  2. Step 2: Convert to fraction form
    2,489.40/3,734.87 = 1,394.55/x
  3. Step 3: Cross multiply
    2,489.40x = 3,734.87 × 1,394.55
  4. Step 4: Simplify right side
    2,489.40x = 5,208,455.99
  5. Step 5: Solve for x
    x = 5,208,455.99/2,489.40
  6. Step 6: Final answer
    x = 2,092.25

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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.