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Finding the Fourth Proportional to 2,867.27, 4,290.03 and 1,697.90

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Solution

The fourth proportional to 2,867.27, 4,290.03 and 1,697.90 is: 2,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.27 : 4,290.03 = 1,697.90 : x
  2. Step 2: Convert to fraction form
    2,867.27/4,290.03 = 1,697.90/x
  3. Step 3: Cross multiply
    2,867.27x = 4,290.03 × 1,697.90
  4. Step 4: Simplify right side
    2,867.27x = 7,284,042.94
  5. Step 5: Solve for x
    x = 7,284,042.94/2,867.27
  6. Step 6: Final answer
    x = 2,540.41

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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.