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Finding the Fourth Proportional to 2,266.38, 3,399.62 and 879.57

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Solution

The fourth proportional to 2,266.38, 3,399.62 and 879.57 is: 1,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.38 : 3,399.62 = 879.57 : x
  2. Step 2: Convert to fraction form
    2,266.38/3,399.62 = 879.57/x
  3. Step 3: Cross multiply
    2,266.38x = 3,399.62 × 879.57
  4. Step 4: Simplify right side
    2,266.38x = 2,990,199.37
  5. Step 5: Solve for x
    x = 2,990,199.37/2,266.38
  6. Step 6: Final answer
    x = 1,319.37

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1.5x scale

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.